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Name: ______________________ Class: _________________ Date: _________ ID: A
1
Geometry Final Study Guide
____ 1. Which diagram shows plane PQR and plane QRS intersecting only in QR→←⎯⎯
?
A. C.
B. D.
____ 2. How are the two angles related?
A. supplementary C. verticalB. adjacent D. complementary
Name: ______________________ ID: A
2
____ 3. Which angles are corresponding angles?
A. ∠7 and∠3 C. ∠3 and∠11B. ∠8 and∠3 D. none of these
This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both runways.
____ 4. How are ∠8 and ∠4 related?A. alternate interior angles C. same-side interior anglesB. corresponding angles D. none of these
Name: ______________________ ID: A
3
____ 5. Which lines are parallel if m∠1 + m∠2 = 180? Justify your answer.
A. j Ä k, by the Converse of the Same-Side Interior Angles PostulateB. j Ä k, by the Converse of the Alternate Interior Angles TheoremC. g Ä h, by the Converse of the Alternate Interior Angles TheoremD. g Ä h, by the Converse of the Same-Side Interior Angles Postulate
____ 6. Write an equation in point-slope form of the line through point J(4, –4) with slope 4.A. y + 4 = 4 x + 4( ) C. y − 4 = 4 x + 4( )B. y + 4 = 4 x − 4( ) D. y + 4 = −4 x − 4( )
____ 7. What is an equation for the line that passes through points (4, –4) and (8, 4)?A. (y – 4) = 2(x + 4) C. (y – 4) = –2(x + 4)B. (y + 4) = 2(x – 4) D. (y + 4) = –2(x – 4)
____ 8. Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.A. No, their slopes are not opposite reciprocals.B. No; their slopes are not equal.C. Yes; their slopes have product –1.D. Yes; their slopes are equal.
____ 9. What must be true about the slopes of two perpendicular lines, neither of which is vertical?A. The slopes are equal.B. The slopes have product 1.C. The slopes have product –1.D. One of the slopes must be 0.
Name: ______________________ ID: A
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____ 10. Which pair of triangles is congruent by ASA?A. C.
B. D.
____ 11. Name the theorem or postulate that lets you immediately conclude ΔABD ≅ ΔCBD.
A. AAS B. SAS C. ASA D. none of these
Name: ______________________ ID: A
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____ 12. Which diagram shows a point P an equal distance from points A, B, and C?A. C.
B. D.
____ 13. Which labeled angle has the greatest measure? The diagram is not to scale.
A. ∠1B. ∠2C. ∠3D. not enough information in the diagram
____ 14. Complete this statement: A polygon with all sides the same length is said to be ____.A. regular B. equilateral C. equiangular D. convex
Name: ______________________ ID: A
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____ 15. WXYZ is a parallelogram. Name an angle congruent to ∠XYZ.
A. ∠XWY B. ∠WZY C. ∠XWZ D. ∠ZWY
____ 16. Classify the figure in as many ways as possible.
A. rectangle, square, quadrilateral, parallelogram, rhombusB. rectangle, square, parallelogramC. rhombus, quadrilateral, squareD. square, rectangle, quadrilateral
____ 17. Which statement is true?A. All squares are rectangles.B. All quadrilaterals are rectangles.C. All parallelograms are rectangles.D. All rectangles are squares.
Name: ______________________ ID: A
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____ 18. Which Venn diagram is NOT correct?A. C.
B. D.
____ 19. Are M, N, and O collinear? If so, name the line on which they lie.
A. Yes, they lie on the line NP.B. Yes, they lie on the line MP.C. Yes, they lie on the line MO.D. No, the three points are not collinear.
____ 20. Name the plane represented by the front of the box.
A. CAB B. GBF C. BJC D. DBF
Name: ______________________ ID: A
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____ 21. Name the ray in the figure.
A. BA→⎯⎯
B. AB→←⎯⎯
C. AB D. AB→⎯⎯
____ 22. What is the name of the ray that is opposite BD→⎯⎯⎯
?
A. BD→⎯⎯⎯
B. CD→⎯⎯⎯
C. BA→⎯⎯
D. AD→⎯⎯⎯
____ 23. What plane contains points C, D, and G?
A. The plane on the bottom of the figure.B. The plane on the top of the figure.C. The plane on the front of the figure.D. The plane that passes at a slant through the figure.
____ 24. What is the length of AC?
A. 13 B. 16 C. 15 D. 3
____ 25. If EF = 6 and EG = 21, find the value of FG. The drawing is not to scale.
A. 17 C. 14B. 15 D. 6
Name: ______________________ ID: A
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____ 26. Which point is the midpoint of AE?
A. D B. B C. not B, C, or D D. C
____ 27. Supplementary angles are two angles whose measures have a sum of ____.Complementary angles are two angles whose measures have a sum of ____.A. 90; 180 B. 90; 45 C. 180; 360 D. 180; 90
____ 28. The complement of an angle is 53°. What is the measure of the angle?A. 37° B. 137° C. 47° D. 127°
____ 29. Find the midpoint of PQ.
A. (2, 0) B. (2, 1) C. (1, 1) D. (1, 0)
____ 30. Find the coordinates of the midpoint of the segment whose endpoints are H(6, 4) and K(2, 8).A. (4, 4) B. (2, 2) C. (8, 12) D. (4, 6)
____ 31. T(6, 12) is the midpoint of CD. The coordinates of D are (6, 15). What are the coordinates of C?A. (6, 18) B. (6, 24) C. (6, 9) D. (6, 13.5)
____ 32. Find the perimeter of the rectangle. The drawing is not to scale.
A. 95 feet B. 190 feet C. 124 feet D. 161 feet
Name: ______________________ ID: A
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____ 33. Find the area of a rectangle with base of 2 yd and a height of 5 f t.A. 10 yd2 B. 30 f t2 C. 10 f t2 D. 30 yd2
____ 34. Find the area of the circle to the nearest tenth. Use 3.14 for π .
A. 30.5 in.2 B. 295.4 in.2 C. 60.9 in.2 D. 73.9 in.2
____ 35. The figure is formed from rectangles. Find the total area. The diagram is not to scale.
A. 104 ft 2 B. 36 ft 2 C. 80 ft 2 D. 68 ft 2
____ 36. Which lines are parallel if m∠3 = m∠6? Justify your answer.
A. r Ä s, by the Converse of the Same-Side Interior Angles PostulateB. r Ä s, by the Converse of the Alternate Interior Angles TheoremC. l Ä m , by the Converse of the Alternate Interior Angles TheoremD. l Ä m , by the Converse of the Same-Side Interior Angles Postulate
Name: ______________________ ID: A
11
____ 37. Each tie on the railroad tracks is perpendicular to both of the tracks. What is the relationship between the two tracks? Justify your answer.
A. The two tracks are perpendicular by the definition of complementary angles.B. The two tracks are parallel by the Same-Side Interior Angles Postulate.C. The two tracks are perpendicular by the Perpendicular Transversal Theorem.D. The two tracks are parallel by the Converse of the Perpendicular Transversal
Theorem.
____ 38. If c ⊥ b and a Ä c, what do you know about the relationship between lines a and b? Justify your conclusion with a theorem or postulate.
A. a Ä b, by the Perpendicular Transversal TheoremB. a⊥b, by the Perpendicular Transversal TheoremC. a⊥b, by the Alternate Exterior Angles TheoremD. not enough information
____ 39. Find the value of k. The diagram is not to scale.
A. 72 B. 108 C. 105 D. 42
Name: ______________________ ID: A
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____ 40. Find the value of x. The diagram is not to scale.
A. 33 B. 162 C. 147 D. 75
____ 41. Is the line through points P(3, –5) and Q(1, 4) parallel to the line through points R(–1, 1) and S(3, –3)? Explain.A. Yes; the lines have equal slopes.B. No; the lines have unequal slopes.C. No; one line has zero slope, the other has no slope.D. Yes; the lines are both vertical.
____ 42. ∠ABC ≅ ?
A. ∠PMN B. ∠NPM C. ∠NMP D. ∠MNP
____ 43. Name the angle included by the sides PN and NM.
A. ∠N B. ∠P C. ∠M D. none of these
Name: ______________________ ID: A
13
____ 44. Which triangles are congruent by ASA?
A. ΔABC andΔGFH C. ΔHGF andΔVTUB. ΔHGF andΔABC D. none
____ 45. What else must you know to prove the triangles congruent by ASA? By SAS?
A. ∠ACD ≅ ∠CAB; AB ≅ CD C. ∠ADC ≅ ∠CAB; AD ≅ BCB. ∠ACD ≅ ∠CAB; AD ≅ BC D. ∠ACD ≅ ∠CAB; AD ≅ AC
____ 46. What is the value of x?
A. 71° B. 142° C. 152° D. 76°
Name: ______________________ ID: A
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____ 47. What is the value of x?
A. 68° B. 62° C. 112° D. 124°
____ 48. In an A-frame house, the two congruent sides extend from the ground to form a 34° angle at the peak. What angle does each side form with the ground?A. 156 B. 146 C. 73 D. 78
____ 49. Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?
A. Yes; ΔCAB ≅ ΔDAC.B. Yes; ΔACB ≅ ΔACD.C. Yes; ΔABC ≅ ΔACD.D. No, the triangles cannot be proven congruent.
Name: ______________________ ID: A
15
____ 50. What common angle do ΔCDG andΔFCE share?
A. ∠C C. ∠EB. ∠F D. ∠D
____ 51. B is the midpoint of AC, D is the midpoint of CE, and AE = 21. Find BD. The diagram is not to scale.
A. 42 B. 21 C. 11.5 D. 10.5
____ 52. Q is equidistant from the sides of ∠TSR. Find the value of x. The diagram is not to scale.
A. 2 B. 12 C. 14 D. 24
Name: ______________________ ID: A
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____ 53. Find the sum of the measures of the angles of the figure.
A. 1260 B. 900 C. 540 D. 720
____ 54. ABCD is a parallelogram. If m∠CDA = 57, then m∠BCD = ? . The diagram is not to scale.
A. 57 B. 114 C. 133 D. 123
____ 55. ABCD is a parallelogram. If m∠CDA = 63, then m∠ABC = ? . The diagram is not to scale.
A. 117 B. 127 C. 78 D. 63
____ 56. Find AM in the parallelogram if PN =15 and AO = 6. The diagram is not to scale.
A. 12 B. 6 C. 15 D. 7.5
Name: ______________________ ID: A
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____ 57. LMNO is a parallelogram. If NM = x + 5 and OL = 2x + 3, find the value of x and then find NM and OL.
A. x = 4, NM = 9, OL = 9 C. x = 2, NM = 9, OL = 7B. x = 2, NM = 7, OL = 7 D. x = 4, NM = 7, OL = 9
____ 58. In the figure, the horizontal lines are parallel and AB = BC = CD. Find KL and FG. The diagram is not to scale.
A. KL = 8.7, FG = 8.7 C. KL = 8.6, FG = 8.7 B. KL = 8.7, FG = 8.6 D. KL = 8.6, FG = 8.6
____ 59. If m∠B = m∠D = 46, find m∠C so that quadrilateral ABCD is a parallelogram. The diagram is not to scale.
A. 46 B. 92 C. 134 D. 268
Name: ______________________ ID: A
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____ 60. If ON = 5x − 7, LM = 4x + 4, NM = x − 7, and OL = 3y − 4, find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale.
A. x = 4, y = 83
C. x = 4, y = 38
B. x = 11, y = 83
D. x = 11, y = 38
____ 61. Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain.
A. Yes; the diagonals bisect each other.B. No; you cannot prove that the quadrilateral is a parallelogram.C. Yes; two opposite sides are both parallel and congruent.D. Yes; the diagonals are congruent.
____ 62. Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.
Given: XN ≅ NZ and NY ≅ NW
A. Yes; opposite sides are congruent.B. Yes; two opposite sides are both parallel and congruent.C. Yes; diagonals of a parallelogram bisect each other.D. No; you cannot determine that the quadrilateral is a parallelogram.
Name: ______________________ ID: A
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____ 63. In rectangle KLMN, KM = 10x + 24 and LN = 64. Find the value of x.
A. 5 C. 3B. 4 D. 40
____ 64. Find the values of a and b. The diagram is not to scale.
A. a = 115, b = 71 C. a = 109, b = 71B. a = 115, b = 65 D. a = 109, b = 65
____ 65. LM is the midsegment of ABCD. AB = 72 and DC = 104. What is LM?
A. 176 B. 98 C. 88 D. 32
Name: ______________________ ID: A
20
____ 66. m∠R = 120 and m∠S = 110. Find m∠T. The diagram is not to scale.
A. 60 B. 10 C. 110 D. 20
____ 67. Is ΔTVS scalene, isosceles, or equilateral? The vertices are T(1,1), V(9,2), and S(5,8).A. cannot be determined C. isoscelesB. scalene D. equilateral
What is the solution of each proportion?
____ 68. 49
= m54
A. 24 B. 124
C. 6 D. 23
____ 69. Given the proportion ab
= 519
, what ratio completes the equivalent proportion a5
= ?
A. a19
C. 519
B. b19
D. 19b
____ 70. Are the two triangles similar? How do you know?
A. no B. yes, by SSS∼ C. yes, by AA∼ D. yes, by SAS∼
Name: ______________________ ID: A
21
Which theorem or postulate proves the two triangles are similar?
____ 71.
A. SA∼ Postulate C. SSS∼ TheoremB. AA∼ Postulate D. SAS∼ Theorem
Find the geometric mean of the pair of numbers.
____ 72. 81 and 4A. 38 B. 23 C. 28 D. 18
____ 73. What is the value of x, given that PQ Ä BC?
A. 12 B. 6 C. 20 D. 24
____ 74. What is the value of x, given that PQ Ä BC?
A. 8 B. 11 C. 10 D. 16
Name: ______________________ ID: A
22
____ 75. What is the value of x?
A. 8 B. 12 C. 6 D. 2
Find the length of the missing side. The triangle is not drawn to scale.
____ 76.
A. 10 B. 48 C. 28 D. 100
____ 77. In triangle ABC, ∠A is a right angle and m∠B = 45°. Find BC. If your answer is not an integer, leave it in simplest radical form.
A. 10 2 ft B. 20 2 ft C. 10 ft D. 20 ft
Name: ______________________ ID: A
23
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
____ 78.
A. 5 3 B. 12
C. 10 3 D. 2
____ 79. A piece of art is in the shape of an equilateral triangle with sides of 6 in. Find the area of the piece of art. Round your answer to the nearest tenth.A. 12.7 in.2 B. 15.6 in.2 C. 31.2 in.2 D. none of these
____ 80. Write the tangent ratios for ∠P and ∠Q.
A. tan P = 1216
; tan Q = 1612
C. tan P = 1612
; tan Q = 1216
B. tan P = 2012
; tan Q = 1220
D. tan P = 2016
; tan Q = 1620
Name: ______________________ ID: A
24
____ 81. Write the ratios for sin A and cos A.
A. sin A = 2426
, cos A = 1024
C. sin A = 2426
, cos A = 1026
B. sin A = 1026
, cos A = 2426
D. sin A = 2410
, cos A = 1026
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
____ 82.
A. 2.6 B. 4.8 C. 3.4 D. 3.1
____ 83.
A. 5 B. 5.8 C. 17.3 D. 8.7
Name: ______________________ ID: A
25
Find the value of x to the nearest degree.
____ 84.
A. 24 B. 66 C. 69 D. 58
____ 85.
What is the description of ∠2 as it relates to the situation shown?
A. ∠2 is the angle of depression from the airplane to the radar tower.B. ∠2 is the angle of elevation from the airplane to the radar tower.C. ∠2 is the angle of elevation from the radar tower to the airplane.D. ∠2 is the angle of depression from the radar tower to the airplane.
____ 86. Find the area of a regular hexagon with side length of 10 m. Round your answer to the nearest tenth.A. 450 m2 B. 129.9 m2 C. 86.6 m2 D. 259.8 m2
____ 87. Find the area of an equilateral triangle with radius 2 3 m. Leave your answer in simplest radical form.
A. 3 3 m2 B. 9 3 m2 C. 92
3 m2 D. 6 3 m2
____ 88. The trapezoids are similar. The area of the smaller trapezoid is 709 m2 . Find the area of the larger trapezoid to the nearest whole number.
A. 11 m2 B. 1479 m2 C. 729 m2 D. 1521 m2
Name: ______________________ ID: A
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Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.
____ 89.
A. 126.9 cm2 B. 63.4 cm2 C. 23.1 cm2 D. 185.5 cm2
Find the circumference. Leave your answer in terms of π.
____ 90.
A. 11.4π cm B. 8.55π cm C. 2.85π cm D. 5.7π cm
____ 91.
A. 54π in. B. 36π in. C. 18π in. D. 324π in.
Name: ______________________ ID: A
27
____ 92. The area of sector AOB is 20.25π ft2 . Find the exact area of the shaded region.
A. 20.25π − 40.5( ) ft2 C. 20.25π − 40.5 2Ê
ËÁÁÁÁ
ˆ
¯˜̃̃˜ft2
B. 20.25π − 81( ) ft2 D. none of these
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
____ 93.
A. 208 m2 ; 188 m2 C. 136 m2 ; 240 m2
B. 136 m2 ; 188 m2 D. 208 m2 ; 240 m2
Name: ______________________ ID: A
28
____ 94. Find the slant height x of the pyramid shown, to the nearest tenth.
A. 6.7 mm B. 7.5 mm C. 3.7 mm D. 10.3 mm
____ 95. Find the slant height of the cone to the nearest whole number.
A. 21 m B. 19 m C. 24 m D. 23 m
____ 96. The lateral area of a cone is 473π cm2 . The radius is 43 cm. Find the slant height to the nearest tenth.A. 15.1 cm B. 11 cm C. 12.9 cm D. 10.7 cm
Name: ______________________ ID: A
29
Find the volume of the given prism. Round to the nearest tenth if necessary.
____ 97.
A. 580 ft3 B. 567 ft3 C. 576 ft3 D. 488 ft3
____ 98. Find the volume of the composite space figure to the nearest whole number.
A. 170 cm3 B. 180 cm3 C. 120 cm3 D. 60 cm3
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
____ 99.
A. 126 cm3 B. 907.5 cm3 C. 605 cm3 D. 55 cm3
Name: ______________________ ID: A
30
Find the volume of the right cone shown as a decimal rounded to the nearest tenth.
____100.
A. 2421.1 yd3 B. 1709 yd3 C. 142.4 yd3 D. 1139.4 yd3
ID: A
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Geometry Final Study GuideAnswer Section
1. ANS: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b STA: MA-HS-G-U-1| MA-HS-G-U-2| MA-HS-G-S-SR1| MA-HS-G-S-SR6| MA-HS-G-S-SR8| MA-HS-G-S-FS1 TOP: 1-2 Problem 3 Finding the Intersection of Two PlanesKEY: plane | intersection
2. ANS: A PTS: 1 DIF: L2 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measuresNAT: CC G.CO.1| M.1.d| G.3.b STA: MA-HS-M-U-1| MA-HS-G-S-SR1| MA-HS-G-S-SR3| MA-HS-AT-S-EI4TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: supplementary angles
3. ANS: C PTS: 1 DIF: L2 REF: 3-1 Lines and AnglesOBJ: 3-1.2 To identify angles formed by two lines and a transversal NAT: CC G.CO.1| CC G.CO.12| M.1.d| G.3.g STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-SR6| MA-HS-G-S-SR8TOP: 3-1 Problem 2 Identifying an Angle Pair KEY: corresponding angles | transversal | parallel lines
4. ANS: B PTS: 1 DIF: L2 REF: 3-1 Lines and AnglesOBJ: 3-1.2 To identify angles formed by two lines and a transversal NAT: CC G.CO.1| CC G.CO.12| M.1.d| G.3.g STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-SR6| MA-HS-G-S-SR8TOP: 3-1 Problem 3 Classifying an Angle Pair KEY: parallel lines | transversal | angle pairs
5. ANS: A PTS: 1 DIF: L2 REF: 3-3 Proving Lines ParallelOBJ: 3-3.1 To determine whether two lines are parallel NAT: CC G.CO.9| G.3.b| G.3.gSTA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-SR6| MA-HS-G-S-FS3TOP: 3-3 Problem 3 Determining Whether Lines are Parallel KEY: parallel lines | reasoning
6. ANS: B PTS: 1 DIF: L2 REF: 3-7 Equations of Lines in the Coordinate Plane OBJ: 3-7.1 To graph and write linear equations NAT: CC G.GPE.5| G.3.g| G.4.a| G.4.dSTA: MA-HS-NPO-S-RP3| MA-HS-G-S-CG1| MA-HS-G-S-CG2| MA-HS-G-S-CG6| MA-HS-AT-S-EI10TOP: 3-7 Problem 3 Writing Equations of Lines KEY: point-slope form
7. ANS: B PTS: 1 DIF: L2 REF: 3-7 Equations of Lines in the Coordinate Plane OBJ: 3-7.1 To graph and write linear equations NAT: CC G.GPE.5| G.3.g| G.4.a| G.4.dSTA: MA-HS-NPO-S-RP3| MA-HS-G-S-CG1| MA-HS-G-S-CG2| MA-HS-G-S-CG6| MA-HS-AT-S-EI10TOP: 3-7 Problem 4 Using Two Points to Write an Equation KEY: point-slope form
ID: A
2
8. ANS: C PTS: 1 DIF: L2 REF: 3-8 Slopes of Parallel and Perpendicular Lines OBJ: 3-8.1 To relate slope to parallel and perpendicular lines NAT: CC G.GPE.5| G.3.g| G.4.a| G.4.d STA: MA-HS-G-S-CG1| MA-HS-G-S-CG2| MA-HS-G-S-CG6| MA-HS-AT-S-EI10TOP: 3-8 Problem 3 Checking for Perpendicular Lines KEY: slopes of perpendicular lines | perpendicular lines
9. ANS: C PTS: 1 DIF: L2 REF: 3-8 Slopes of Parallel and Perpendicular Lines OBJ: 3-8.1 To relate slope to parallel and perpendicular lines NAT: CC G.GPE.5| G.3.g| G.4.a| G.4.d STA: MA-HS-G-S-CG1| MA-HS-G-S-CG2| MA-HS-G-S-CG6| MA-HS-AT-S-EI10TOP: 3-8 Problem 3 Checking for Perpendicular Lines KEY: slopes of perpendicular lines | perpendicular lines | reasoning
10. ANS: D PTS: 1 DIF: L2 REF: 4-3 Triangle Congruence by ASA and AAS OBJ: 4-3.1 To prove two triangles congruent using the ASA Postulate and the AAS theoremNAT: CC G.SRT.5| G.2.e| G.3.e| G.5.e STA: MA-HS-G-S-SR4| MA-HS-G-S-FS1| MA-HS-G-S-FS3TOP: 4-3 Problem 1 Using ASA KEY: ASA
11. ANS: A PTS: 1 DIF: L2 REF: 4-3 Triangle Congruence by ASA and AAS OBJ: 4-3.1 To prove two triangles congruent using the ASA Postulate and the AAS theoremNAT: CC G.SRT.5| G.2.e| G.3.e| G.5.e STA: MA-HS-G-S-SR4| MA-HS-G-S-FS1| MA-HS-G-S-FS3TOP: 4-3 Problem 4 Determining Whether Triangles Are Congruent KEY: ASA | AAS | SAS
12. ANS: A PTS: 1 DIF: L2 REF: 5-3 Bisectors in TrianglesOBJ: 5-3.1 To identify properties of perpendicular bisectors and angle bisectorsNAT: CC G.C.3| G.3.c STA: MA-HS-G-S-SR4| MA-HS-G-S-CG5| MA-HS-G-S-FS3| MA-HS-G-S-FS4| MA-HS-AT-S-EI4TOP: 5-3 Problem 1 Finding the Circumcenter of a Triangle KEY: circumcenter of the triangle | circumscribe | point of concurrency
13. ANS: C PTS: 1 DIF: L2 REF: 5-6 Inequalities in One TriangleOBJ: 5-6.1 To use inequalities involving angles and sides of triangles NAT: CC G.CO.10| G.3.c STA: MA-HS-NPO-S-NS1| MA-HS-NPO-S-PNO2| MA-HS-G-S-SR1| MA-HS-G-S-FS3| MA-HS-AT-S-EI4 TOP: 5-6 Problem 1 Applying the Corollary KEY: corollary to the Triangle Exterior Angle Theorem
14. ANS: B PTS: 1 DIF: L2 REF: 6-1 The Polygon Angle-Sum Theorems OBJ: 6-1.1 To find the sum of the measures of the interior angles of a polygonNAT: CC G.SRT.5| M.1.d| G.3.f STA: MA-HS-NPO-U-3| MA-HS-NPO-S-NO1| MA-HS-M-U-3| MA-HS-G-S-SR3TOP: 6-1 Problem 2 Using the Polygon Angle-Sum KEY: classifying polygons | equilateral polygon
ID: A
3
15. ANS: C PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3TOP: 6-2 Problem 2 Using Properties of Parallelograms in a Proof KEY: parallelogram | opposite angles
16. ANS: A PTS: 1 DIF: L2 REF: 6-4 Properties of Rhombuses, Rectangles, and Squares OBJ: 6-4.1 To define and classify special types of parallelograms NAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3| MA-HS-AT-S-EI4TOP: 6-4 Problem 1 Classifying Special Parallelograms KEY: special quadrilaterals | quadrilateral | parallelogram | rhombus | square | rectangle
17. ANS: A PTS: 1 DIF: L2 REF: 6-4 Properties of Rhombuses, Rectangles, and Squares OBJ: 6-4.1 To define and classify special types of parallelograms NAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3| MA-HS-AT-S-EI4TOP: 6-4 Problem 1 Classifying Special Parallelograms KEY: reasoning | parallelogram | quadrilateral | rectangle | rhombus | special quadrilaterals
18. ANS: B PTS: 1 DIF: L2 REF: 6-4 Properties of Rhombuses, Rectangles, and Squares OBJ: 6-4.1 To define and classify special types of parallelograms NAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3| MA-HS-AT-S-EI4TOP: 6-4 Problem 1 Classifying Special Parallelograms KEY: reasoning | quadrilateral | Venn Diagram | rhombus | square | rectangle
19. ANS: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b STA: MA-HS-G-U-1| MA-HS-G-U-2| MA-HS-G-S-SR1| MA-HS-G-S-SR6| MA-HS-G-S-SR8| MA-HS-G-S-FS1 TOP: 1-2 Problem 1 Naming Points, Lines, and PlanesKEY: point | line | collinear points
20. ANS: B PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b STA: MA-HS-G-U-1| MA-HS-G-U-2| MA-HS-G-S-SR1| MA-HS-G-S-SR6| MA-HS-G-S-SR8| MA-HS-G-S-FS1 TOP: 1-2 Problem 1 Naming Points, Lines, and PlanesKEY: plane
21. ANS: D PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b STA: MA-HS-G-U-1| MA-HS-G-U-2| MA-HS-G-S-SR1| MA-HS-G-S-SR6| MA-HS-G-S-SR8| MA-HS-G-S-FS1 TOP: 1-2 Problem 2 Naming Segments and RaysKEY: ray
ID: A
4
22. ANS: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b STA: MA-HS-G-U-1| MA-HS-G-U-2| MA-HS-G-S-SR1| MA-HS-G-S-SR6| MA-HS-G-S-SR8| MA-HS-G-S-FS1 TOP: 1-2 Problem 2 Naming Segments and RaysKEY: ray | opposite rays
23. ANS: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b STA: MA-HS-G-U-1| MA-HS-G-U-2| MA-HS-G-S-SR1| MA-HS-G-S-SR6| MA-HS-G-S-SR8| MA-HS-G-S-FS1 TOP: 1-2 Problem 4 Using Postulate 1-4 KEY: plane | point
24. ANS: A PTS: 1 DIF: L2 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.bSTA: MA-HS-NPO-S-NS2| MA-HS-M-U-3| MA-HS-NPO-S-NO1| MA-HS-G-S-CG3TOP: 1-3 Problem 1 Measuring Segment Lengths KEY: coordinate | distance
25. ANS: B PTS: 1 DIF: L2 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.bSTA: MA-HS-NPO-S-NS2| MA-HS-M-U-3| MA-HS-NPO-S-NO1| MA-HS-G-S-CG3TOP: 1-3 Problem 2 Using the Segment Addition Postulate KEY: coordinate | distance
26. ANS: A PTS: 1 DIF: L2 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.bSTA: MA-HS-NPO-S-NS2| MA-HS-M-U-3| MA-HS-NPO-S-NO1| MA-HS-G-S-CG3TOP: 1-3 Problem 4 Using the Midpoint KEY: midpoint
27. ANS: D PTS: 1 DIF: L2 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measuresNAT: CC G.CO.1| M.1.d| G.3.b STA: MA-HS-M-U-1| MA-HS-G-S-SR1| MA-HS-G-S-SR3| MA-HS-AT-S-EI4TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: supplementary angles | complementary angles
28. ANS: A PTS: 1 DIF: L2 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measuresNAT: CC G.CO.1| M.1.d| G.3.b STA: MA-HS-M-U-1| MA-HS-G-S-SR1| MA-HS-G-S-SR3| MA-HS-AT-S-EI4TOP: 1-5 Problem 3 Finding Missing Angle Measures KEY: complementary angles
29. ANS: A PTS: 1 DIF: L2 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: 1-7.1 To find the midpoint of a segment NAT: CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a STA: MA-HS-M-S-MPA6| MA-HS-G-S-CG3| MA-HS-G-S-CG5| MA-HS-G-S-CG6TOP: 1-7 Problem 1 Finding the Midpoint KEY: coordinate plane | Midpoint Formula
30. ANS: D PTS: 1 DIF: L2 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: 1-7.1 To find the midpoint of a segment NAT: CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a STA: MA-HS-M-S-MPA6| MA-HS-G-S-CG3| MA-HS-G-S-CG5| MA-HS-G-S-CG6TOP: 1-7 Problem 1 Finding the Midpoint KEY: coordinate plane | Midpoint Formula
ID: A
5
31. ANS: C PTS: 1 DIF: L2 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: 1-7.1 To find the midpoint of a segment NAT: CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a STA: MA-HS-M-S-MPA6| MA-HS-G-S-CG3| MA-HS-G-S-CG5| MA-HS-G-S-CG6TOP: 1-7 Problem 2 Finding an Endpoint KEY: coordinate plane | Midpoint Formula
32. ANS: B PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area OBJ: 1-8.1 To find the perimeter or circumference of basic shapes NAT: CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e STA: MA-HS-M-U-3| MA-HS-G-S-CG3TOP: 1-8 Problem 1 Finding the Perimeter of a Rectangle KEY: rectangle | perimeter
33. ANS: B PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area OBJ: 1-8.2 To find the area of basic shapes NAT: CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e STA: MA-HS-M-U-3| MA-HS-G-S-CG3TOP: 1-8 Problem 4 Finding Area of a Rectangle KEY: area | rectangle
34. ANS: D PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area OBJ: 1-8.2 To find the area of basic shapes NAT: CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e STA: MA-HS-M-U-3| MA-HS-G-S-CG3TOP: 1-8 Problem 5 Finding Area of a Circle KEY: area | circle
35. ANS: D PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area OBJ: 1-8.2 To find the area of basic shapes NAT: CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e STA: MA-HS-M-U-3| MA-HS-G-S-CG3TOP: 1-8 Problem 6 Finding Area of an Irregular Shape KEY: area | rectangle
36. ANS: B PTS: 1 DIF: L2 REF: 3-3 Proving Lines ParallelOBJ: 3-3.1 To determine whether two lines are parallel NAT: CC G.CO.9| G.3.b| G.3.gSTA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-SR6| MA-HS-G-S-FS3TOP: 3-3 Problem 3 Determining Whether Lines are Parallel KEY: parallel lines | reasoning
37. ANS: D PTS: 1 DIF: L2 REF: 3-4 Parallel and Perpendicular Lines OBJ: 3-4.1 To relate parallel and perpendicular lines NAT: CC G.MG.3| G.3.b| G.3.gSTA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-SR6| MA-HS-G-S-FS3TOP: 3-4 Problem 1 Solving a Problem with Parallel Lines KEY: parallel | perpendicular | transversal | word problem | reasoning
38. ANS: B PTS: 1 DIF: L2 REF: 3-4 Parallel and Perpendicular Lines OBJ: 3-4.1 To relate parallel and perpendicular lines NAT: CC G.MG.3| G.3.b| G.3.gSTA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-SR6| MA-HS-G-S-FS3TOP: 3-4 Problem 2 Proving a Relationship Between Two Lines KEY: parallel lines | perpendicular lines | transversal
39. ANS: A PTS: 1 DIF: L2 REF: 3-5 Parallel Lines and TrianglesOBJ: 3-5.2 To find measures of angles of triangles NAT: CC G.CO.10| M.1.d| G.3.gSTA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-SR6| MA-HS-G-S-FS3TOP: 3-5 Problem 1 Using the Triangle Angle-Sum Theorem KEY: triangle | sum of angles of a triangle
ID: A
6
40. ANS: A PTS: 1 DIF: L2 REF: 3-5 Parallel Lines and TrianglesOBJ: 3-5.2 To find measures of angles of triangles NAT: CC G.CO.10| M.1.d| G.3.gSTA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-SR6| MA-HS-G-S-FS3TOP: 3-5 Problem 2 Using the Triangle Exterior Angle Theorem KEY: triangle | sum of angles of a triangle | exterior angle of a polygon | remote interior angles
41. ANS: B PTS: 1 DIF: L2 REF: 3-8 Slopes of Parallel and Perpendicular Lines OBJ: 3-8.1 To relate slope to parallel and perpendicular lines NAT: CC G.GPE.5| G.3.g| G.4.a| G.4.d STA: MA-HS-G-S-CG1| MA-HS-G-S-CG2| MA-HS-G-S-CG6| MA-HS-AT-S-EI10TOP: 3-8 Problem 1 Checking for Parallel Lines KEY: slopes of parallel lines | graphing | parallel lines
42. ANS: D PTS: 1 DIF: L2 REF: 4-1 Congruent FiguresOBJ: 4-1.1 To recognize congruent figures and their corresponding partsNAT: CC G.SRT.5| G.2.e| G.3.e STA: MA-HS-G-S-SR1| MA-HS-G-S-SR3| MA-HS-G-S-SR4| MA-HS-G-S-FS1| MA-HS-G-S-FS3TOP: 4-1 Problem 1 Finding Congruent Parts KEY: congruent polygons | corresponding parts
43. ANS: A PTS: 1 DIF: L2 REF: 4-2 Triangle Congruence by SSS and SAS OBJ: 4-2.1 To prove two triangles congruent using the SSS and SAS PostulatesNAT: CC G.SRT.5| G.2.e| G.3.e| G.5.e STA: MA-HS-G-S-SR4| MA-HS-G-S-FS1| MA-HS-G-S-FS3TOP: 4-2 Problem 2 Using SAS KEY: angle
44. ANS: B PTS: 1 DIF: L2 REF: 4-3 Triangle Congruence by ASA and AAS OBJ: 4-3.1 To prove two triangles congruent using the ASA Postulate and the AAS theoremNAT: CC G.SRT.5| G.2.e| G.3.e| G.5.e STA: MA-HS-G-S-SR4| MA-HS-G-S-FS1| MA-HS-G-S-FS3TOP: 4-3 Problem 1 Using ASA KEY: ASA
45. ANS: B PTS: 1 DIF: L2 REF: 4-3 Triangle Congruence by ASA and AAS OBJ: 4-3.1 To prove two triangles congruent using the ASA Postulate and the AAS theoremNAT: CC G.SRT.5| G.2.e| G.3.e| G.5.e STA: MA-HS-G-S-SR4| MA-HS-G-S-FS1| MA-HS-G-S-FS3TOP: 4-3 Problem 4 Determining Whether Triangles Are Congruent KEY: ASA | SAS | reasoning
46. ANS: A PTS: 1 DIF: L2 REF: 4-5 Isosceles and Equilateral Triangles OBJ: 4-5.1 To use and apply properties of isosceles and equilateral trianglesNAT: CC G.CO.10| CC G.CO.13| CC G.SRT.5| G.1.c| G.2.e| G.3.e STA: MA-HS-G-S-SR1| MA-HS-G-S-SR4| MA-HS-G-S-FS1| MA-HS-G-S-FS3| MA-HS-G-S-FS4TOP: 4-5 Problem 2 Using Algebra KEY: isosceles triangle | Converse of Isosceles Triangle Theorem | Triangle Angle-Sum Theorem
47. ANS: A PTS: 1 DIF: L2 REF: 4-5 Isosceles and Equilateral Triangles OBJ: 4-5.1 To use and apply properties of isosceles and equilateral trianglesNAT: CC G.CO.10| CC G.CO.13| CC G.SRT.5| G.1.c| G.2.e| G.3.e STA: MA-HS-G-S-SR1| MA-HS-G-S-SR4| MA-HS-G-S-FS1| MA-HS-G-S-FS3| MA-HS-G-S-FS4TOP: 4-5 Problem 2 Using Algebra KEY: isosceles triangle | Isosceles Triangle Theorem | Triangle Angle-Sum Theorem | word problem
ID: A
7
48. ANS: C PTS: 1 DIF: L2 REF: 4-5 Isosceles and Equilateral Triangles OBJ: 4-5.1 To use and apply properties of isosceles and equilateral trianglesNAT: CC G.CO.10| CC G.CO.13| CC G.SRT.5| G.1.c| G.2.e| G.3.e STA: MA-HS-G-S-SR1| MA-HS-G-S-SR4| MA-HS-G-S-FS1| MA-HS-G-S-FS3| MA-HS-G-S-FS4TOP: 4-5 Problem 3 Finding Angle Measures KEY: Isosceles Triangle Theorem | isosceles triangle | Triangle Angle-Sum Theorem | word problem | problem solving
49. ANS: B PTS: 1 DIF: L2 REF: 4-6 Congruence in Right TrianglesOBJ: 4-6.1 To prove right triangles congruent using the hypotenuse-leg theoremNAT: CC G.SRT.5| G.2.e| G.3.e| G.5.e STA: MA-HS-G-S-SR4| MA-HS-G-S-FS1| MA-HS-G-S-FS3TOP: 4-6 Problem 1 Using the HL Theorem KEY: hypotenuse | HL Theorem | right triangle | reasoning
50. ANS: A PTS: 1 DIF: L2 REF: 4-7 Congruence in Overlapping Triangles OBJ: 4-7.1 To identify congruent overlapping triangles NAT: CC G.SRT.5| G.2.e| G.3.e| G.5.eSTA: MA-HS-G-S-SR1| MA-HS-G-S-SR3| MA-HS-G-S-SR4| MA-HS-G-S-FS1| MA-HS-G-S-FS3TOP: 4-7 Problem 1 Identifying Common Parts KEY: overlapping triangle | congruent parts
51. ANS: D PTS: 1 DIF: L2 REF: 5-1 Midsegments of TrianglesOBJ: 5-1.1 To use properties of midsegments to solve problems NAT: CC G.CO.10| CC G.SRT.5| G.3.c STA: MA-HS-G-S-SR2| MA-HS-G-S-SR4| MA-HS-G-S-CG3| MA-HS-G-S-CG5TOP: 5-1 Problem 2 Finding Lengths KEY: midpoint | midsegment | Triangle Midsegment Theorem
52. ANS: A PTS: 1 DIF: L2 REF: 5-2 Perpendicular and Angle Bisectors OBJ: 5-2.1 To use properties of perpendicular bisectors and angle bisectorsNAT: CC G.CO.9| CC G.CO.12| CC G.SRT.5| G.3.c STA: MA-HS-G-S-SR4| MA-HS-G-S-FS3| MA-HS-G-S-FS4| MA-HS-AT-S-EI4TOP: 5-2 Problem 3 Using the Angle Bisector Theorem KEY: angle bisector | Converse of the Angle Bisector Theorem
53. ANS: C PTS: 1 DIF: L2 REF: 6-1 The Polygon Angle-Sum Theorems OBJ: 6-1.1 To find the sum of the measures of the interior angles of a polygonNAT: CC G.SRT.5| M.1.d| G.3.f STA: MA-HS-NPO-U-3| MA-HS-NPO-S-NO1| MA-HS-M-U-3| MA-HS-G-S-SR3TOP: 6-1 Problem 1 Finding a Polygon Angle Sum KEY: Polygon Angle-Sum Theorem
54. ANS: D PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3TOP: 6-2 Problem 1 Using Consecutive Angles KEY: parallelogram | consecutive angles
55. ANS: D PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3TOP: 6-2 Problem 1 Using Consecutive Angles KEY: parallelogram | opposite angles
ID: A
8
56. ANS: B PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.2 To use relationships among diagonals of parallelograms NAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3TOP: 6-2 Problem 3 Using Algebra to Find Lengths KEY: parallelogram | diagonal
57. ANS: B PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3TOP: 6-2 Problem 3 Using Algebra to Find Lengths KEY: parallelogram | algebra
58. ANS: B PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3TOP: 6-2 Problem 4 Using Parallel Lines and Transversals KEY: parallel lines | transversal
59. ANS: C PTS: 1 DIF: L2 REF: 6-3 Proving That a Quadrilateral Is a Parallelogram OBJ: 6-3.1 To determine whether a quadrilateral is a parallelogram NAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3| MA-HS-AT-S-EI4TOP: 6-3 Problem 1 Finding Values for Parallelograms KEY: opposite angles | parallelogram
60. ANS: B PTS: 1 DIF: L2 REF: 6-3 Proving That a Quadrilateral Is a Parallelogram OBJ: 6-3.1 To determine whether a quadrilateral is a parallelogram NAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3| MA-HS-AT-S-EI4TOP: 6-3 Problem 1 Finding Values for Parallelograms KEY: algebra | parallelogram | opposite sides
61. ANS: A PTS: 1 DIF: L2 REF: 6-3 Proving That a Quadrilateral Is a Parallelogram OBJ: 6-3.1 To determine whether a quadrilateral is a parallelogram NAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3| MA-HS-AT-S-EI4TOP: 6-3 Problem 2 Deciding Whether a Quadrilateral Is a ParallelogramKEY: opposite angles | parallelogram
62. ANS: C PTS: 1 DIF: L2 REF: 6-3 Proving That a Quadrilateral Is a Parallelogram OBJ: 6-3.1 To determine whether a quadrilateral is a parallelogram NAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3| MA-HS-AT-S-EI4TOP: 6-3 Problem 2 Deciding Whether a Quadrilateral Is a ParallelogramKEY: parallelogram | opposite sides
63. ANS: B PTS: 1 DIF: L2 REF: 6-4 Properties of Rhombuses, Rectangles, and Squares OBJ: 6-4.2 To use properties of diagonals of rhombuses and rectanglesNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3| MA-HS-AT-S-EI4TOP: 6-4 Problem 3 Finding Diagonal Length KEY: rectangle | algebra | diagonal
ID: A
9
64. ANS: A PTS: 1 DIF: L2 REF: 6-6 Trapezoids and KitesOBJ: 6-6.1 To verify and use properties of trapezoids and kites NAT: CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3| MA-HS-AT-S-EI4TOP: 6-6 Problem 1 Finding Angle Measures in Trapezoids KEY: trapezoid | base angles
65. ANS: C PTS: 1 DIF: L2 REF: 6-6 Trapezoids and KitesOBJ: 6-6.1 To verify and use properties of trapezoids and kites NAT: CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3| MA-HS-AT-S-EI4TOP: 6-6 Problem 3 Using the Midsegment of a Trapezoid KEY: trapezoid | base angles | midsegment of a trapezoid
66. ANS: D PTS: 1 DIF: L2 REF: 6-6 Trapezoids and KitesOBJ: 6-6.1 To verify and use properties of trapezoids and kites NAT: CC G.SRT.5| G.1.c| G.3.f STA: MA-HS-G-S-SR1| MA-HS-G-S-SR2| MA-HS-G-S-SR3| MA-HS-G-S-FS3| MA-HS-AT-S-EI4TOP: 6-6 Problem 4 Finding Angle Measures in Kites KEY: kite | sum of interior angles
67. ANS: C PTS: 1 DIF: L2 REF: 6-7 Polygons in the Coordinate Plane OBJ: 6-7.1 To classify polygons in the coordinate plane NAT: CC G.GPE.7| G.3.fSTA: MA-HS-G-S-CG1| MA-HS-G-S-CG3| MA-HS-G-S-CG5| MA-HS-G-S-CG6| MA-HS-G-S-CG7TOP: 6-7 Problem 1 Classifying a Triangle KEY: triangle | distance formula | isosceles | scalene
68. ANS: A PTS: 1 DIF: L2 REF: 7-1 Ratios and ProportionsOBJ: 7-1.1 To write ratios and solve proportions NAT: CC G.SRT.5| N.4.cSTA: MA-HS-NPO-U-5| MA-HS-NPO-S-RP1| MA-HS-NPO-S-RP2| MA-HS-NPO-S-PNO1| MA-HS-NPO-S-PNO4 TOP: 7-1 Problem 4 Solving a ProportionKEY: proportion | Cross-Product Property | extremes | means
69. ANS: B PTS: 1 DIF: L2 REF: 7-1 Ratios and ProportionsOBJ: 7-1.1 To write ratios and solve proportions NAT: CC G.SRT.5| N.4.cSTA: MA-HS-NPO-U-5| MA-HS-NPO-S-RP1| MA-HS-NPO-S-RP2| MA-HS-NPO-S-PNO1| MA-HS-NPO-S-PNO4 TOP: 7-1 Problem 5 Writing Equivalent ProportionsKEY: proportion | Properties of Proportions | equivalent proportions
70. ANS: C PTS: 1 DIF: L2 REF: 7-3 Proving Triangles SimilarOBJ: 7-3.1 To use the AA Postulate and the SAS and SSS theorems NAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e| G.5.e STA: MA-HS-NPO-U-5| MA-HS-NPO-S-RP1| MA-HS-NPO-S-RP2| MA-HS-G-U-4| MA-HS-G-S-SR4TOP: 7-3 Problem 1 Using the AA Postulate KEY: Angle-Angle Similarity Postulate | Side-Side-Side Similarity Theorem | Side-Angle-Side Similarity Theorem
71. ANS: B PTS: 1 DIF: L2 REF: 7-3 Proving Triangles SimilarOBJ: 7-3.1 To use the AA Postulate and the SAS and SSS theorems NAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e| G.5.e STA: MA-HS-NPO-U-5| MA-HS-NPO-S-RP1| MA-HS-NPO-S-RP2| MA-HS-G-U-4| MA-HS-G-S-SR4TOP: 7-3 Problem 3 Proving Triangles Similar KEY: Angle-Angle Similarity Postulate
72. ANS: D PTS: 1 DIF: L2 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar triangles NAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e STA: MA-HS-NPO-S-NO4| MA-HS-G-U-4| MA-HS-G-S-SR4| MA-HS-AT-S-VEO9| MA-HS-AT-S-EI8TOP: 7-4 Problem 2 Finding the Geometric Mean KEY: geometric mean | proportion
ID: A
10
73. ANS: A PTS: 1 DIF: L2 REF: 7-5 Proportions in TrianglesOBJ: 7-5.1 To use the Side-Splitter theorem and the Triangles Angle-Bisector theoremNAT: CC G.SRT.4| N.4.c| M.3.a STA: MA-HS-NPO-U-5| MA-HS-NPO-S-RP1| MA-HS-NPO-S-RP2| MA-HS-G-U-4| MA-HS-G-S-SR2TOP: 7-5 Problem 1 Using the Side-Splitter Theorem KEY: Side-Splitter Theorem
74. ANS: A PTS: 1 DIF: L2 REF: 7-5 Proportions in TrianglesOBJ: 7-5.1 To use the Side-Splitter theorem and the Triangles Angle-Bisector theoremNAT: CC G.SRT.4| N.4.c| M.3.a STA: MA-HS-NPO-U-5| MA-HS-NPO-S-RP1| MA-HS-NPO-S-RP2| MA-HS-G-U-4| MA-HS-G-S-SR2TOP: 7-5 Problem 1 Using the Side-Splitter Theorem KEY: Side-Splitter Theorem
75. ANS: A PTS: 1 DIF: L2 REF: 7-5 Proportions in TrianglesOBJ: 7-5.1 To use the Side-Splitter theorem and the Triangles Angle-Bisector theoremNAT: CC G.SRT.4| N.4.c| M.3.a STA: MA-HS-NPO-U-5| MA-HS-NPO-S-RP1| MA-HS-NPO-S-RP2| MA-HS-G-U-4| MA-HS-G-S-SR2TOP: 7-5 Problem 2 Finding a Length KEY: corollary of Side-Splitter Theorem
76. ANS: A PTS: 1 DIF: L2 REF: 8-1 The Pythagorean Theorem and Its Converse OBJ: 8-1.1 To use the Pythagorean theorem and its converse NAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.d STA: MA-HS-NPO-S-NO4| MA-HS-M-S-MPA6| MA-HS-M-S-MPA7| MA-HS-AT-S-VEO5TOP: 8-1 Problem 1 Finding the Length of the Hypotenuse KEY: Pythagorean Theorem | leg | hypotenuse | Pythagorean triple
77. ANS: A PTS: 1 DIF: L2 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 1 Finding the Length of the HypotenuseKEY: special right triangles | hypotenuse | leg
78. ANS: A PTS: 1 DIF: L2 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 4 Using the Length of One SideKEY: special right triangles | leg | hypotenuse
79. ANS: B PTS: 1 DIF: L2 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 5 Applying the 30?-60?-90? Triangle TheoremKEY: area of a triangle | word problem | problem solving
80. ANS: C PTS: 1 DIF: L2 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1 TOP: 8-3 Problem 1 Writing Trigonometric Ratios KEY: tangent
81. ANS: C PTS: 1 DIF: L2 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1 TOP: 8-3 Problem 1 Writing Trigonometric Ratios KEY: sine | cosine
82. ANS: B PTS: 1 DIF: L2 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1 TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance KEY: tangent
ID: A
11
83. ANS: B PTS: 1 DIF: L2 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1 TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance KEY: tangent
84. ANS: B PTS: 1 DIF: L2 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1 TOP: 8-3 Problem 3 Using Inverses KEY: tangent
85. ANS: C PTS: 1 DIF: L2 REF: 8-4 Angles of Elevation and Depression OBJ: 8-4.1 To use angles of elevation and depression to solve problemsNAT: CC G.SRT.8 STA: MA-HS-M-S-MPA2| MA-HS-M-S-MPA5| MA-HS-M-S-MPA6| MA-HS-M-S-MPA7TOP: 8-4 Problem 1 Identifying Angles of Elevation and Depression KEY: angles of elevation and depression
86. ANS: D PTS: 1 DIF: L2 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 To find the area of a regular polygon NAT: CC G.CO.13 | CC G.MG.1| N.3.c| N.3.f| M.1.c| M.1.f| A.4.e STA: MA-HS-NPO-S-NO1| MA-HS-NPO-S-NO4| MA-HS-M-S-MPA1| MA-HS-G-S-SR3| MA-HS-G-S-SR7 TOP: 10-3 Problem 3 Using Special Triangles to Find AreaKEY: regular polygon | hexagon | area | apothem | radius
87. ANS: B PTS: 1 DIF: L2 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 To find the area of a regular polygon NAT: CC G.CO.13 | CC G.MG.1| N.3.c| N.3.f| M.1.c| M.1.f| A.4.e STA: MA-HS-NPO-S-NO1| MA-HS-NPO-S-NO4| MA-HS-M-S-MPA1| MA-HS-G-S-SR3| MA-HS-G-S-SR7 TOP: 10-3 Problem 3 Using Special Triangles to Find AreaKEY: regular polygon | radius
88. ANS: B PTS: 1 DIF: L2 REF: 10-4 Perimeters and Areas of Similar Figures OBJ: 10-4.1 To find the perimeters and areas of similar polygons NAT: CC G.GMD.3| N.3.c| N.3.f| M.1.c| M.1.f| A.4.e STA: MA-HS-NPO-S-RP1| MA-HS-NPO-S-RP2| MA-HS-M-S-MPA1| MA-HS-M-S-MPA4| MA-HS-G-S-SR7 TOP: 10-4 Problem 2 Finding Areas Using Similar FiguresKEY: similar figures | area | trapezoid
89. ANS: B PTS: 1 DIF: L2 REF: 10-5 Trigonometry and AreaOBJ: 10-5.1 To find areas of regular polygons and triangles using trigonometryNAT: CC G.SRT.9| M.1.f STA: MA-HS-M-S-MPA1| MA-HS-M-S-MPA5| MA-HS-M-S-MPA6| MA-HS-M-S-MPA7| MA-HS-G-S-SR7 TOP: 10-5 Problem 3 Finding Area KEY: area of a triangle | area | sine
90. ANS: D PTS: 1 DIF: L2 REF: 10-6 Circles and ArcsOBJ: 10-6.2 To find the circumference and arc length NAT: CC G.CO.1| CC G.C.1| CC G.C.2| CC G.C.5 STA: MA-HS-NPO-U-1| MA-HS-M-S-MPA1| MA-HS-G-S-SR5| MA-HS-G-S-SR7TOP: 10-6 Problem 3 Finding a Distance KEY: circumference | diameter
ID: A
12
91. ANS: B PTS: 1 DIF: L2 REF: 10-6 Circles and ArcsOBJ: 10-6.2 To find the circumference and arc length NAT: CC G.CO.1| CC G.C.1| CC G.C.2| CC G.C.5 STA: MA-HS-NPO-U-1| MA-HS-M-S-MPA1| MA-HS-G-S-SR5| MA-HS-G-S-SR7TOP: 10-6 Problem 3 Finding a Distance KEY: circumference | radius
92. ANS: A PTS: 1 DIF: L2 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 To find the areas of circles, sectors, and segments of circlesNAT: CC G.C.5 TOP: 10-7 Problem 3 Finding the Area of a Segment of a CircleKEY: sector | circle | area | central angle
93. ANS: C PTS: 1 DIF: L2 REF: 11-2 Surface Areas of Prisms and Cylinders OBJ: 11-2.1 To find the surface area of a prism and a cylinder NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f STA: MA-HS-M-S-MPA1| MA-HS-M-S-MPA3| MA-HS-G-S-SR7| MA-HS-G-S-SR9| MA-HS-G-S-SR10TOP: 11-2 Problem 2 Using Formulas to Find Surface Area of a PrismKEY: surface area formulas | lateral area | surface area | prism | surface area of a prism
94. ANS: A PTS: 1 DIF: L2 REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 To find the surface area of a pyramid and a cone NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f STA: MA-HS-M-S-MPA1| MA-HS-M-S-MPA3| MA-HS-M-S-MPA6| MA-HS-G-S-SR7| MA-HS-G-S-SR9TOP: 11-3 Problem 2 Finding the Lateral Area of a Pyramid KEY: pyramid | slant height of a pyramid | Pythagorean Theorem
95. ANS: A PTS: 1 DIF: L2 REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 To find the surface area of a pyramid and a cone NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f STA: MA-HS-M-S-MPA1| MA-HS-M-S-MPA3| MA-HS-M-S-MPA6| MA-HS-G-S-SR7| MA-HS-G-S-SR9TOP: 11-3 Problem 4 Finding the Lateral Area of a Cone KEY: cone | slant height of a cone | Pythagorean Theorem
96. ANS: B PTS: 1 DIF: L2 REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 To find the surface area of a pyramid and a cone NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f STA: MA-HS-M-S-MPA1| MA-HS-M-S-MPA3| MA-HS-M-S-MPA6| MA-HS-G-S-SR7| MA-HS-G-S-SR9TOP: 11-3 Problem 4 Finding the Lateral Area of a Cone KEY: cone | lateral area | slant height of a cone
97. ANS: C PTS: 1 DIF: L2 REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 To find the volume of a prism and the volume of a cylinderNAT: CC G.GMD.1| CC G.GMD.2| CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.fSTA: MA-HS-NPO-S-NO4| MA-HS-M-S-MPA1| MA-HS-M-S-MPA3| MA-HS-G-S-SR7| MA-HS-G-S-SR9 TOP: 11-4 Problem 1 Finding the Volume of a Rectangular PrismKEY: volume of a rectangular prism | volume formulas | volume | prism
ID: A
13
98. ANS: B PTS: 1 DIF: L2 REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 To find the volume of a prism and the volume of a cylinderNAT: CC G.GMD.1| CC G.GMD.2| CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.fSTA: MA-HS-NPO-S-NO4| MA-HS-M-S-MPA1| MA-HS-M-S-MPA3| MA-HS-G-S-SR7| MA-HS-G-S-SR9 TOP: 11-4 Problem 4 Finding Volume of a Composite FigureKEY: volume of a rectangular prism | problem solving | volume formulas | volume | composite space figure
99. ANS: C PTS: 1 DIF: L2 REF: 11-5 Volumes of Pyramids and Cones OBJ: 11-5.1 To find the volume of a pyramid and of a cone NAT: CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f STA: MA-HS-NPO-S-NO4| MA-HS-M-S-MPA1| MA-HS-M-S-MPA3| MA-HS-G-S-SR7| MA-HS-G-S-SR9 TOP: 11-5 Problem 1 Finding Volume of a PyramidKEY: volume of a pyramid | pyramid | volume formulas | volume
100. ANS: D PTS: 1 DIF: L2 REF: 11-5 Volumes of Pyramids and Cones OBJ: 11-5.1 To find the volume of a pyramid and of a cone NAT: CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f STA: MA-HS-NPO-S-NO4| MA-HS-M-S-MPA1| MA-HS-M-S-MPA3| MA-HS-G-S-SR7| MA-HS-G-S-SR9 TOP: 11-5 Problem 3 Finding the Volume of a ConeKEY: volume of a cone | cone | volume formulas | volume
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