ExamView - Unit 1 study guide Geometry

Name: ______________________ Class: _________________ Date: _________ ID: A

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Unit 1 - Geometry Study Guide

____ 1. What are the names of four coplanar points?

A. Points P, M , F, and C are coplanar.

B. Points F, D, P, and N are coplanar.

C. Points P, M , N , and C are coplanar.

D. Points P, M , D, and C are coplanar.

____ 2. Name the line and plane shown in the diagram.

A. QP→←

and plane SR C. PQ→←

and plane SP

B. PQ→←

and plane PQS D. line P and plane PQS

____ 3. Are points C, G, and H collinear or noncollinear?

A. noncollinear B. collinear C. impossible to tell

Name: ______________________ ID: A

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____ 4. 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 M P.

C. Yes, they lie on the line M O.

D. No, the three points are not collinear.

____ 5. What are the names of three planes that contain point A?

A. planes ABDC, ABFE, and ACHF

B. planes ABDC, ABFE, and CDHG

C. planes CDHG, ABFE, and ACHF

D. planes ABDC, EFGH , and ACHF

____ 6. What is the name of the ray that is opposite BD→

?

A. BD→

B. CD→

C. BA→

D. AD→

Name: ______________________ ID: A

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____ 7. What are the names of the segments in the figure?

A. The three segments are AB, CA, and AC .

B. The three segments are AB, BC , and BA.

C. The three segments are AB, BC , and AC .

D. The two segments are AB and BC .

____ 8. Which diagram shows plane PQR and plane QRS intersecting only in QR→←

?

A. C.

B. D.

Name: ______________________ ID: A

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____ 9. What is the intersection of plane STXW and plane SVUT?

A. SV→←

B. ST→←

C. YZ→←

D. TX→←

____ 10. What is the length of AC?

A. 13 B. 16 C. 15 D. 3

____ 11. If EF = 6 and EG = 21, find the value of FG. The drawing is not to scale.

A. 17 C. 14

B. 15 D. 6

____ 12. If EF = 4x + 15, FG = 39, and EG = 110 , find the value of x. The drawing is not to scale.

A. x = 56 C. x = 14

B. x = 16 D. x = 2

____ 13. What segment is congruent to AC?

A. BD B. BE C. CE D. none

____ 14. If Z is the midpoint of RT , what are x, RZ, and RT?

A. x = 18, RZ = 134, and RT = 268 C. x = 20, RZ = 150, and RT = 300

B. x = 22, RZ = 150, and RT = 300 D. x = 20, RZ = 300, and RT = 150

Name: ______________________ ID: A

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____ 15. Which point is the midpoint of AE?

A. D B. B C. not B, C, or D D. C

____ 16. If T is the midpoint of SU , what are ST, TU, and SU?

A. ST = 7, TU = 63, and SU = 126 C. ST = 18, TU = 18, and SU = 36

B. ST = 80, TU = 80, and SU = 160 D. ST = 63, TU = 63, and SU = 126

____ 17. Judging by appearance, name an acute angle, an obtuse angle, and a right angle.

A. ∠X, ∠Y, ∠W C. ∠W, ∠X, ∠V

B. ∠U, ∠W, ∠Y D. ∠U, ∠V, ∠Y

Name: ______________________ ID: A

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____ 18. What are the measures of ∠FBG and ∠ABC? Classify each angle as acute, right, obtuse, or straight.

A. m∠FBG = 35°; ∠FBG is acute.

m∠ABC = 180°; ∠ABC is straight.

B. m∠FBG = 35°; ∠FBG is straight.

m∠ABC = 180°; ∠ABC is acute.

C. m∠FBG = 35°; ∠FBG is acute.

m∠ABC = 170°; ∠ABC is obtuse.

D. m∠FBG = 45°; ∠FBG is acute.

m∠ABC = 180°; ∠ABC is straight.

____ 19. Complete the statement.

The drawing is not to scale.

If m∠GDF =54º, then m∠EDF = ? .

A. 27° C. 63°

B. 54° D. none of these

Name: ______________________ ID: A

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____ 20. If m∠AOC = 85°, m∠BOC = 2x + 10, and m∠AOB = 4x − 15, find the degree measure of ∠BOC and ∠AOB.

The diagram is not to scale.

A. m∠BOC = 30°; m∠AOB = 55° C. m∠BOC = 45°; m∠AOB = 40°

B. m∠BOC = 40°; m∠AOB = 45° D. m∠BOC = 55°; m∠AOB = 30°

____ 21. If m∠DEF = 119, then what are m∠FEG and m∠HEG? The diagram is not to scale.

A. m∠FEG = 71, m∠HEG = 119 C. m∠FEG = 61, m∠HEG = 129

B. m∠FEG = 119, m∠HEG = 61 D. m∠FEG = 61, m∠HEG = 119

____ 22. If m∠EOF = 26 and m∠FOG = 38, then what is the measure of ∠EOG? The diagram is not to scale.

A. 64 B. 12 C. 52 D. 76

Name: ______________________ ID: A

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____ 23. How are the two angles related?

A. supplementary C. vertical

B. adjacent D. complementary

____ 24. Name an angle complementary to ∠BOC.

A. ∠DOE B. ∠BOE C. ∠BOA D. ∠COD

____ 25. Name an angle vertical to ∠EGH.

A. ∠EGF B. ∠IGF C. ∠HGI D. ∠HGJ

Name: ______________________ ID: A

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____ 26. In the figure shown, m∠AED = 121. Which of the following statements is false?

Not drawn to scale

A. m∠AEB = 59

B. ∠BEC and ∠AED are vertical angles.

C. ∠AEB and ∠BEC are vertical angles.

D. m∠BEC = 121

____ 27. The complement of an angle is 53°. What is the measure of the angle?

A. 37° B. 137° C. 47° D. 127°

____ 28. ∠DFG and ∠JKL are complementary angles. m∠DFG = x + 2, and m∠JKL = x − 4. Find the measure of each

angle.

A. ∠DFG = 48, ∠JKL = 42 C. ∠DFG = 46, ∠JKL = 44

B. ∠DFG = 48, ∠JKL = 52 D. ∠DFG = 46, ∠JKL = 54

____ 29. ∠1 and ∠2 are a linear pair. m∠1 = x − 15, and m∠2 = x + 77. Find the measure of each angle.

A. ∠1 = 59, ∠2 = 131 C. ∠1 = 44, ∠2 = 146

B. ∠1 = 44, ∠2 = 136 D. ∠1 = 59, ∠2 = 121

____ 30. Angle A and angle B are a linear pair. If m∠A = 4m∠B, find m∠A and m∠B.

A. 144, 36 B. 36, 144 C. 72, 18 D. 18, 72

____ 31. SQ→

bisects ∠RST , and m∠RSQ = 2x − 4. Write an expression for ∠RST . The diagram is not to scale.

A. x – 2 B. 4x – 4 C. 2x – 4 D. 4x – 8

Name: ______________________ ID: A

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____ 32. MO→

bisects ∠LMN, m∠LMO = 6x − 20, and m∠NMO = 2x + 36. Solve for x and find m∠LMN. The

diagram is not to scale.

A. x = 13, m∠LMN = 116 C. x = 14, m∠LMN = 128

B. x = 13, m∠LMN = 58 D. x = 14, m∠LMN = 64

____ 33. MO→

bisects ∠LMN , m∠LMN = 5x − 22, m∠LMO = x + 31. Find m∠NMO. The diagram is not to scale.

A. 88.5 B. 64 C. 59 D. 44.25

____ 34. Which point is the midpoint of AB?

A. –0.5 B. 2 C. 1 D. 3

Name: ______________________ ID: A

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____ 35. Find the midpoint of PQ.

A. (2, 0) B. (2, 1) C. (1, 1) D. (1, 0)

____ 36. 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)

____ 37. M(7, 5) is the midpoint of RS . The coordinates of S are (8, 7). What are the coordinates of R?

A. (9, 9) B. (6, 3) C. (14, 10) D. (7.5, 6)

____ 38. Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.

A. 11 B. 7.8 C. 61 D. 14.9

____ 39. The Frostburg-Truth bus travels from Frostburg Mall through the city’s center to Sojourner Truth Park. The

mall is 4 miles east and 5 miles north of the city’s center. Truth Park is 4 miles west and 2 miles south of the

city’s center. How far is it from Truth Park to the mall to the nearest tenth of a mile?

A. 10.6 miles B. 4.5 miles C. 6.4 miles D. 3 miles

____ 40. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?

A. about 10 miles C. about 8 miles

B. about 50 miles D. about 40 miles

Name: ______________________ ID: A

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____ 41. Find the perimeter of the rectangle. The drawing is not to scale.

A. 95 feet B. 190 feet C. 124 feet D. 161 feet

____ 42. Ken is adding a ribbon border to the edge of his kite. Two sides of the kite measure 9.5 inches, while the

other two sides measure 17.8 inches. How much ribbon does Ken need?

A. 45.1 in. B. 27.3 in. C. 54.6 in. D. 36.8 in.

____ 43. Jose wants to put a fence around his rectangular garden. His garden measures 33 feet by 39 feet. The garden

has a path around it that is 3 feet wide. How much fencing material does Jose need to enclose the garden and

path?

A. 120 ft B. 156 ft C. 168 ft D. 84 ft

____ 44. Find the circumference of the circle in terms of π .

A. 156π in. B. 39π in. C. 1521π in. D. 78π in.

____ 45. Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam

the garden with greatest area? The diagrams are not to scale.

A. C.

B. D.

____ 46. If the perimeter of a square is 140 inches, what is its area?

A. 1225 in.2 B. 35 in.2 C. 19,600 in.2 D. 140 in.2

Name: ______________________ ID: A

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____ 47. Find the area of a rectangle with base of 2 yd and a height of 5 ft.

A. 10 yd2 B. 30 ft2 C. 10 ft2 D. 30 yd2

____ 48. Find the area of the circle in terms of π .

A. 42π in.2 B. 1764π in.2 C. 441π in.2 D. 84π in.2

____ 49. 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

____ 50. The figure is formed from rectangles. Find the total area. The diagram is not to scale.

A. 104 ft2 B. 36 ft2 C. 80 ft2 D. 68 ft2

ID: A

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Unit 1 - Geometry Study Guide

Answer Section

1. ANS: C PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes

OBJ: 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 Planes

KEY: coplanar | point

2. ANS: B PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes





KEY: line | plane

3. ANS: A PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes





KEY: point | collinear points






KEY: point | line | collinear points

5. ANS: A PTS: 1 DIF: L4 REF: 1-2 Points, Lines, and Planes





KEY: plane | point





MA-HS-G-S-FS1 TOP: 1-2 Problem 2 Naming Segments and Rays

KEY: ray | opposite rays





MA-HS-G-S-FS1 TOP: 1-2 Problem 2 Naming Segments and Rays

KEY: segment

ID: A

2





MA-HS-G-S-FS1 TOP: 1-2 Problem 3 Finding the Intersection of Two Planes

KEY: plane | intersection

9. ANS: B PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes




MA-HS-G-S-FS1 TOP: 1-2 Problem 3 Finding the Intersection of Two Planes

KEY: plane | intersection

10. ANS: A PTS: 1 DIF: L2 REF: 1-3 Measuring Segments

OBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b

STA: MA-HS-NPO-S-NS2| MA-HS-M-U-3| MA-HS-NPO-S-NO1| MA-HS-G-S-CG3

TOP: 1-3 Problem 1 Measuring Segment Lengths KEY: coordinate | distance

11. ANS: B PTS: 1 DIF: L2 REF: 1-3 Measuring Segments



TOP: 1-3 Problem 2 Using the Segment Addition Postulate KEY: coordinate | distance

12. ANS: C PTS: 1 DIF: L3 REF: 1-3 Measuring Segments



TOP: 1-3 Problem 2 Using the Segment Addition Postulate KEY: coordinate | distance

13. ANS: B PTS: 1 DIF: L3 REF: 1-3 Measuring Segments



TOP: 1-3 Problem 3 Comparing Segment Lengths KEY: congruent segments

14. ANS: C PTS: 1 DIF: L3 REF: 1-3 Measuring Segments



TOP: 1-3 Problem 4 Using the Midpoint KEY: midpoint

15. ANS: A PTS: 1 DIF: L2 REF: 1-3 Measuring Segments




16. ANS: D PTS: 1 DIF: L4 REF: 1-3 Measuring Segments




17. ANS: B PTS: 1 DIF: L3 REF: 1-4 Measuring Angles

OBJ: 1-4.1 To find and compare the measures of angles NAT: CC G.CO.1| M.1.d| G.3.b

STA: MA-HS-M-U-1| MA-HS-M-U-2| MA-HS-G-S-SR1| MA-HS-G-S-SR3

TOP: 1-4 Problem 2 Measuring and Classifying Angles

KEY: acute angle | right angle | obtuse angle

ID: A

3

18. ANS: A PTS: 1 DIF: L3 REF: 1-4 Measuring Angles



TOP: 1-4 Problem 2 Measuring and Classifying Angles

KEY: acute angle | right angle | obtuse angle | measure of an angle




TOP: 1-4 Problem 3 Using Congruent Angles KEY: congruent angles




TOP: 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition Postulate

21. ANS: D PTS: 1 DIF: L3 REF: 1-4 Measuring Angles




22. ANS: A PTS: 1 DIF: L3 REF: 1-4 Measuring Angles




23. ANS: A PTS: 1 DIF: L2 REF: 1-5 Exploring Angle Pairs

OBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measures

NAT: 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-EI4

TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: supplementary angles

24. ANS: D PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs




TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: complementary angles

25. ANS: B PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs




TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: vertical angles

26. ANS: C PTS: 1 DIF: L4 REF: 1-5 Exploring Angle Pairs




TOP: 1-5 Problem 1 Identifying Angle Pairs

KEY: adjacent angles | supplementary angles | vertical angles





TOP: 1-5 Problem 3 Finding Missing Angle Measures KEY: complementary angles

ID: A

4





TOP: 1-5 Problem 3 Finding Missing Angle Measures KEY: complementary angles

29. ANS: B PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs




TOP: 1-5 Problem 3 Finding Missing Angle Measures KEY: supplementary angles| linear pair





TOP: 1-5 Problem 3 Finding Missing Angle Measures KEY: linear pair | supplementary angles

31. ANS: D PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs




TOP: 1-5 Problem 4 Using an Angle Bisector to Find Angle Measures

KEY: angle bisector






KEY: angle bisector






KEY: angle bisector

34. ANS: C PTS: 1 DIF: L3

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-CG6

TOP: 1-7 Problem 1 Finding the Midpoint KEY: segment length | segment | midpoint

35. ANS: A PTS: 1 DIF: L2





TOP: 1-7 Problem 1 Finding the Midpoint

KEY: coordinate plane | Midpoint Formula

ID: A

5

36. ANS: D PTS: 1 DIF: L2





TOP: 1-7 Problem 1 Finding the Midpoint


37. ANS: B PTS: 1 DIF: L3





TOP: 1-7 Problem 2 Finding an Endpoint




OBJ: 1-7.2 To find the distance between two points in the coordinate plane



TOP: 1-7 Problem 3 Finding Distance KEY: Distance Formula | coordinate plane






TOP: 1-7 Problem 4 Finding Distance

KEY: coordinate plane | Distance Formula | word problem | problem solving






TOP: 1-7 Problem 4 Finding Distance

KEY: coordinate plane | Distance Formula | word problem | problem solving


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-CG3

TOP: 1-8 Problem 1 Finding the Perimeter of a Rectangle KEY: rectangle | perimeter





TOP: 1-8 Problem 1 Finding the Perimeter of a Rectangle

KEY: perimeter | problem solving | word problem

ID: A

6





TOP: 1-8 Problem 1 Finding the Perimeter of a Rectangle

KEY: perimeter | word problem | problem solving





TOP: 1-8 Problem 2 Finding Circumference KEY: circle | circumference



OBJ: 1-8.2 To find the area of basic shapes


TOP: 1-8 Problem 4 Finding Area of a Rectangle

KEY: rectangle | area | word problem | problem solving





TOP: 1-8 Problem 4 Finding Area of a Rectangle KEY: area | square





TOP: 1-8 Problem 4 Finding Area of a Rectangle KEY: area | rectangle





TOP: 1-8 Problem 5 Finding Area of a Circle KEY: area | circle





TOP: 1-8 Problem 5 Finding Area of a Circle KEY: area | circle





TOP: 1-8 Problem 6 Finding Area of an Irregular Shape KEY: area | rectangle

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ExamView - Unit 1 study guide Geometry