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Name: ________________________________ Per: _________ Teacher: ___________________ Date: __________
ID: A
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Geometry/Trigonometry Final S1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Judging by appearance, classify the figure in as
many ways as possible.
a. rectangle, square, quadrilateral, parallelogram,
rhombus
b. rectangle, square, parallelogram
c. rhombus, trapezoid, quadrilateral, square
d. square, rectangle, quadrilateral
2. Which statement is true?
a. All quadrilaterals are rectangles.
b. All quadrilaterals are squares.
c. All rectangles are quadrilaterals.
d. All quadrilaterals are parallelograms.
3. ABCD is a parallelogram. IfmCDA 66, then
mBCD ? . The diagram is not to scale.
a. 66
b. 124
c. 114
d. 132
4. Find the values of the variables in the
parallelogram. The diagram is not to scale.
a. x 49,y 29,z 102
b. x 29,y 49,z 131
c. x 49,y 49,z 131
d. x 29,y 49,z 102
5. In the parallelogram, mKLO 68 and
mMLO 61. Find KJM. The diagram is not to
scale.
a. 119
b. 61
c. 129
d. 68
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6. FindAMin the parallelogram ifPN=9 andAO = 4.
The diagram is not to scale.
a. 8
b. 4
c. 9
d. 4.5
7. Find the values ofa and b.The diagram is not to
scale.
a. a 144,b 67
b. a 144,b 36c. a 113,b 67
d. a 113,b 36
8. Find m1 and m3 in the kite. The diagram is not
to scale.
a. 51, 51
b. 39, 39
c. 39, 51
d. 51, 39
9. Find the value ofx. The diagram is not to scale.
a. 32
b. 50
c. 64
d. 80
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10. PointsB,D, and Fare midpoints of the sides of
ACE.EC= 30 andDF= 23. FindAC. The
diagram is not to scale.
a. 30
b. 11.5
c. 60d. 46
11. The length ofDE is shown. What other length can
you determine for this diagram?
a. EF= 12
b. DG = 12
c. DF= 24
d. No other length can be determined.
12. Q is equidistant from the sides ofTSR. Find the
value ofx. The diagram is not to scale.
a. 27
b. 3
c. 15
d. 30
13. Where is the center of the largest circle that you
could draw inside a given triangle?
a. the point of concurrency of the altitudes of the
triangle
b. the point of concurrency of the perpendicular
bisectors of the sides of the triangle
c. the point of concurrency of the bisectors of the
angles of the triangle
d. the point of concurrency of the medians of the
triangle
14. Where can the perpendicular bisectors of the sides
of a right triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
a. I only
b. II only
c. I or II only
d. I, II, or II
15. Where can the bisectors of the angles of an obtuse
triangle intersect?I. inside the triangle
II. on the triangle
III. outside the triangle
a. I only
b. III only
c. I or III only
d. I, II, or II
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16. In ABC,G is the centroid andBE= 9. FindBG
and GE.
a. BG = 21
4, GE= 6
3
4
b. BG 3,GE 6
c. BG 6,GE 3
d. BG = 41
2
, GE= 41
2
17. Name a median for ABC.
a. AD
b. CE
c. AF
d. BD
18. Name the point of concurrency of the angle bisectors.
a. A b. B c. C d. not shown
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19. Find the length ofAB, given that DB is a median of
the triangle andAC= 26.
a. 13
b. 26
c. 52
d. not enough information
20. Where can the medians of a triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
a. I only
b. III only
c. I or III only
d. I, II, or II
21. Where can the lines containing the altitudes of an
obtuse triangle intersect?
I. inside the triangleII. on the triangle
III. outside the triangle
a. I only
b. I or II only
c. III only
d. I, II, or II
22. Which diagram shows a point P an equal distance
from pointsA,B, and C?
a.
b.
c.
d.
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23. Name the smallest angle ofABC. The diagram is
not to scale.
a. A
b. C
c. Two angles are the same size and smaller than
the third.
d. B
24. List the sides in order from shortest to longest. The
diagram is not to scale.
a. LK,LJ,JK
b. LJ,LK,JK
c. LJ,JK,LK
d. LK,JK,LJ
25. Which three lengths could be the lengths of the
sides of a triangle?
a. 12 cm, 5 cm, 17 cm
b. 10 cm, 15 cm, 24 cmc. 9 cm, 22 cm, 11 cm
d. 21 cm, 7 cm, 6 cm
26. Two sides of a triangle have lengths 10 and 18.
Which inequalities describe the values that possible
lengths for the third side?
a. x 8 and x 28
b. x > 8 andx < 28
c. x > 10 andx < 18
d. x 10 and x 18
27. Two sides of a triangle have lengths 10 and 15.
What must be true about the length of the third
side?
a. less than 25
b. less than 10
c. less than 15
d. less than 5
28. IfBCDEis congruent to OPQR, then DE is
congruent to ? .
a. PQ
b. OR
c. OP
d. QR
29. ABC ?
a. PMN
b. NPM
c. NMP
d. MNP
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30. The two triangles are congruent as suggested by their appearance. Find the value ofc. The diagrams are not to
scale.
a. 4 b. 5 c. 3 d. 38
31. What other information do you need in order to
prove the triangles congruent using the SAS
Congruence Postulate?
a. BAC DACb. CBA CDA
c. ACBD
d. ACBD
32. State whether ABC and AED are congruent.
Justify your answer.
a. yes, by either SSS or SAS
b. yes, by SSS only
c. yes, by SAS onlyd. No; there is not enough information to
conclude that the triangles are congruent.
33. Name the angle included by the sides PN and NM.
a. N
b. P
c. M
d. none of these
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34. In each pair of triangles, parts are congruent as
marked. Which pair of triangles is congruent by
ASA?
a.
b.
c.
d.
35. From the information in the diagram, can you prove
FDG FDB? Explain.
a. yes, by ASA
b. yes, by AAA
c. yes, by SAS
d. no
36. Can you use the ASA Postulate, the AAS Theorem,
or both to prove the triangles congruent?
a. either ASA or AAS
b. ASA only
c. AAS only
d. neither
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37. Based on the given information, what can you
conclude, and why?
Given:H L,HJ JL
a. HIJ LKJ by ASA
b. HIJ JLK by SAS
c. HIJ JLK by ASA
d. HIJ LKJ by SAS
38. Name the theorem or postulate that lets you
immediately conclude ABD CBD.
a. SAS
b. ASA
c. AASd. none of these
39. Use the information in the figure. Find mD.
a. 32
b. 122
c. 64
d. 58
40. Given ABC PQR,mB 3v 4, and
mQ 8v 6, find mB and mQ.
a. 22
b. 11
c. 10
d. 25
41. Complete the statement. If a transversal intersects
two parallel lines, then ____.
a. corresponding angles are supplementary
b. same-side interior angles are complementary
c. alternate interior angles are congruent
d. none of these
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42. Line ris parallel to line t. Find m5. The diagram
is not to scale.
a. 45
b. 35
c. 135
d. 145
43. Complete the statement. If a transversal intersects
two parallel lines, then ____ angles are
supplementary.
a. acute
b. alternate interior
c. same-side interior
d. corresponding
44. Find mQ. The diagram is not to scale.
a. 60
b. 120
c. 110
d. 70
45. m1 6x and m3 120. Find the value ofx forp
to be parallel to q. The diagram is not to scale.
a. 114
b. 126
c. 120
d. 20
46. Find the value ofk. The diagram is not to scale.
a. 17
b. 73
c. 118d. 107
47. Find the value ofx. The diagram is not to scale.
a. 33
b. 162
c. 147
d. 75
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48. How many sides does a regular polygon have if
each exterior angle measures 20?
a. 17 sides
b. 20 sides
c. 21 sides
d. 18 sides
49. Find the missing angle measures. The diagram is
not to scale.
a. x = 124,y = 125
b. x = 56,y = 114
c. x = 114,y = 56
d. x = 56,y = 124
50. The sum of the measures of two exterior angles of a
triangle is 255. What is the measure of the third
exterior angle?
a. 75
b. 115
c. 105
d. 95
51. The Polygon Angle-Sum Theorem states: The sum
of the measures of the angles of an n-gon is ____.
a. n
2180
b. (n 1)180
c.180
n 1
d. (n 2)180
52. Complete this statement. The sum of the measures
of the exterior angles of an n-gon, one at each
vertex, is ____.
a. (n 2)180
b. 360
c. (n 2)180n
d. 180n
53. Find mA. The diagram is not to scale.
a. 107
b. 117
c. 63
d. 73
54. Based on the pattern, what are the next two terms ofthe sequence?
9, 15, 21, 27, . . .
a. 33, 972
b. 39, 45
c. 162, 972
d. 33, 39
55. Based on the pattern, what is the next figure in the
sequence?
a.
b.
c.
d.
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56. Are O,N, and P collinear? If so, name the line on which they lie.
a. No, the three points are not collinear.
b. Yes, they lie on the lineM P.
c. Yes, they lie on the lineNP.
d. Yes, they lie on the lineMO.
57. Name the line and plane shown in the diagram.
a. RS
and planeRSU c. RS
and plane UR
b. lineR and planeRSU d. SR
and plane UT
58. Name the ray in the figure.
a. BA
b. AB
c. BA d. AB
59. FindAC.
a. 14 b. 15 c. 12 d. 4
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60. IfTis the midpoint ofSU, find the values ofx and
ST. The diagram is not to scale.
a. x = 5, ST= 45
b. x = 5, ST= 60
c. x = 10, ST= 60
d. x = 10, ST= 45
61. IfmEOF 26 and mFOG 38, then what is
the measure ofEOG? The diagram is not to scale.
a. 64
b. 12
c. 52
d. 76
62. Name an angle supplementary to EOD.
a. BOC
b. BOE
c. DOCd. BOA
63. How are the two angles related?
a. vertical
b. supplementary
c. complementary
d. adjacent
64. Which angle is a right angle?
a.
b.
c.
d.
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Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value ofx.
(Figures are not drawn to scale.)
65. mO 111
a. 291
b. 69
c. 55.5
d. 222
66. mP 12
a. 78
b. 39
c. 102
d. 24
Find the value ofx. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
67.
a. 13
b. 26
c. 77
d. 38.5
68. Find the measure ofBAC. (The figure is not
drawn to scale.)
a. 57
b. 28.5
c. 33
d. 114
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Short Answer
69. DF bisects EDG. Find the value ofx. The
diagram is not to scale.
70. Find the values ofx andy. The diagram is not to
scale.
71. Find the values ofx,y, andz. The diagram is not to
scale.
72. mA 9x 7,mB 7x 9, and mC 28 2x.
List the sides ofABCin order from shortest to
longest.
73. Q is equidistant from the sides ofTSR. Find
mRST. The diagram is not to scale.
74. Find the value ofx.
75. Use the information given in the diagram. Tell why
AC AC and BCA DAC.
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76. Find the value ofx. The diagram is not to scale.
77. Find the values of the variables and the lengths of
the sides of this kite.
78. Find the values ofx andy.
Find the value ofx. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
79. FG OP, RS OQ, FG = 40,RS = 37, OP = 19 80.
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81. JK, KL, and LJ are all tangent to O (not drawn to
scale). JA = 9,AL = 10, and
CK= 14. Find the perimeter ofJKL.
82. What is the measure of a base angle of an isosceles
triangle if the vertex angle measures 38 and the
two congruent sides each measure 21 units?
83. Find mBAC. (The figure is not drawn to scale.)
84. MO
bisects LMN, mLMN 5x 23,
mLMO x 32. Find mNMO. The diagram is
not to scale.
85. IfEF 2x 12, FG 3x 15, andEG 23, find
the values ofx,EF, and FG. The drawing is not to
scale.
86. Find the circumference of the circle in terms of.
87. Find the area of the circle in terms of.
88. DFG and JKL are complementary angles.
mDFG = x 5, and mJKL = x 9. Find the
measure of each angle.
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89. 1 and 2 are supplementary angles.
m1 x 39, and m2 x 61. Find the measure
of each angle.
90. Find the value of the variable ifm l,m1 = 2x 44 and m5 = 5x 38. The diagram is
not to scale.
91. Find the coordinates of the midpoint of the segment
whose endpoints areH(8, 2) and K(6, 10).
92. DF
bisects EDG. Find FG. The diagram is not to
scale.
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Geometry/Trigonometry Final S1
Answer Section
MULTIPLE CHOICE
1. A
2. C
3. C
4. D
5. C
6. B
7. A
8. C
9. C
10. D
11. A
12. B
13. C
14. B
15. A
16. B
17. D
18. C
19. A
20. A
21. C
22. A
23. D
24. C
25. B
26. B
27. A
28. D
29. D
30. C
31. C
32. A
33. A
34. B
35. A
36. A
37. A
38. A
39. A
40. C
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41. C
42. C
43. C
44. A
45. D
46. B47. A
48. D
49. C
50. C
51. D
52. B
53. D
54. D
55. B
56. A
57. A58. A
59. C
60. A
61. A
62. C
63. B
64. C
65. B
66. A
67. C
68. B
SHORT ANSWER
69. 6
70. x = 77,y = 57
71. x 86, y 67, z 94
72. AB;AC;BC
73. 25
74. 4
75. Reflexive Property, Given
76. x 23
77. x = 9,y = 13; 11, 20
78. x 90, y 43
79. 20.5
80. 13.5
81. 66
82. 71
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83. 57
84. 61
85. x =10,EF= 8, FG = 15
86. 78in.
87. 225in.2
88. DFG = 52, JKL = 3889. 1 40, 2 140
90. 2
91. (7, 6)
92. 14
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Name: ________________________________ Per: _________ Teacher: ___________________ Date: __________
ID: B
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Geometry/Trigonometry Final S1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Judging by appearance, classify the figure in as
many ways as possible.
a. square, rectangle, quadrilateral
b. rhombus, trapezoid, quadrilateral, square
c. rectangle, square, parallelogram
d. rectangle, square, quadrilateral, parallelogram,
rhombus
2. Which statement is true?
a. All quadrilaterals are squares.
b. All rectangles are squares.
c. All squares are quadrilaterals.
d. All quadrilaterals are parallelograms.
3. ABCD is a parallelogram. IfmCDA 57, then
mBCD ? . The diagram is not to scale.
a. 123
b. 133
c. 57
d. 114
4. Find the values of the variables in the
parallelogram. The diagram is not to scale.
a. x 57,y 21,z 102
b. x 21,y 57,z 123
c. x 21,y 57,z 102
d. x 57,y 57,z 123
5. In the parallelogram, mKLO 63 and
mMLO 66. Find KJM. The diagram is not to
scale.
a. 129
b. 66
c. 63
d. 119
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6. FindAMin the parallelogram ifPN=14 andAO =
3. The diagram is not to scale.
a. 7
b. 6
c. 14
d. 3
7. Find the values ofa and b.The diagram is not to
scale.
a. a 130,b 50
b. a 108,b 72c. a 108,b 50
d. a 130,b 72
8. Find m1 and m3 in the kite. The diagram is not
to scale.
a. 24, 66
b. 66, 66
c. 66, 24
d. 24, 24
9. Find the value ofx. The diagram is not to scale.
a. 25
b. 42
c. 60
d. 50
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10. PointsB,D, and Fare midpoints of the sides of
ACE.EC= 39 andDF= 24. FindAC. The
diagram is not to scale.
a. 78
b. 12
c. 48d. 39
11. The length ofDE is shown. What other length can
you determine for this diagram?
a. EF= 14
b. DG = 14
c. DF= 28
d. No other length can be determined.
12. Q is equidistant from the sides ofTSR. Find the
value ofx. The diagram is not to scale.
a. 12
b. 11.6
c. 25d. 5
13. Where is the center of the largest circle that you
could draw inside a given triangle?
a. the point of concurrency of the perpendicular
bisectors of the sides of the triangle
b. the point of concurrency of the bisectors of the
angles of the triangle
c. the point of concurrency of the medians of the
triangle
d. the point of concurrency of the altitudes of the
triangle
14. Where can the perpendicular bisectors of the sides
of a right triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
a. I or II only
b. I, II, or II
c. I only
d. II only
15. Where can the bisectors of the angles of an obtuse
triangle intersect?I. inside the triangle
II. on the triangle
III. outside the triangle
a. I only
b. III only
c. I, II, or II
d. I or III only
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16. In ABC,G is the centroid andBE= 21. FindBG
and GE.
a. BG = 51
4, GE= 15
3
4
b. BG = 101
2, GE= 10
1
2
c. BG 7,GE 14
d. BG 14,GE
7
17. Name a median for ABC.
a. AD
b. AF
c. BD
d. CE
18. Name the point of concurrency of the angle bisectors.
a. A b. C c. B d. not shown
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19. Find the length ofAB, given that DB is a median of
the triangle andAC= 22.
a. 22
b. 44
c. 11
d. not enough information
20. Where can the medians of a triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
a. I or III only
b. I, II, or II
c. I only
d. III only
21. Where can the lines containing the altitudes of an
obtuse triangle intersect?
I. inside the triangleII. on the triangle
III. outside the triangle
a. I only
b. I or II only
c. III only
d. I, II, or II
22. Which diagram shows a point P an equal distance
from pointsA,B, and C?
a.
b.
c.
d.
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23. Name the smallest angle ofABC. The diagram is
not to scale.
a. A
b. Two angles are the same size and smaller than
the third.
c. C
d. B
24. List the sides in order from shortest to longest. The
diagram is not to scale.
a. LJ,LK,JK
b. JK,LK,LJ
c. JK,LJ,LK
d. LJ,JK,LK
25. Which three lengths could be the lengths of the
sides of a triangle?
a. 9 cm, 15 cm, 22 cm
b. 13 cm, 5 cm, 18 cmc. 19 cm, 5 cm, 7 cm
d. 8 cm, 25 cm, 10 cm
26. Two sides of a triangle have lengths 8 and 12.
Which inequalities describe the values that possible
lengths for the third side?
a. x > 8 andx < 12
b. x > 4 andx < 20
c. x 8 and x 12
d. x 4 and x 20
27. Two sides of a triangle have lengths 7 and 14. What
must be true about the length of the third side?
a. less than 14
b. less than 21
c. less than 7
d. less than 7
28. IfBCDEis congruent to OPQR, then CD is
congruent to ? .
a. OP
b. PQ
c. QR
d. OR
29. PNM ?
a. ACB
b. BCA
c. CBA
d. BAC
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30. The two triangles are congruent as suggested by their appearance. Find the value ofb. The diagrams are not to
scale.
a. 5 b. 4 c. 37 d. 3
31. What other information do you need in order to
prove the triangles congruent using the SAS
Congruence Postulate?
a. BAC DAC
b. ACBD
c. CBA CDA
d. ACBD
32. State whether ABC and AED are congruent.
Justify your answer.
a. yes, by SSS only
b. yes, by SAS only
c. yes, by either SSS or SASd. No; there is not enough information to
conclude that the triangles are congruent.
33. Name the angle included by the sides MP and PN.
a. N
b. P
c. M
d. none of these
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34. In each pair of triangles, parts are congruent as
marked. Which pair of triangles is congruent by
ASA?
a.
b.
c.
d.
35. From the information in the diagram, can you prove
FDG FDB? Explain.
a. yes, by AAA
b. yes, by ASA
c. yes, by SAS
d. no
36. Can you use the ASA Postulate, the AAS Theorem,
or both to prove the triangles congruent?
a. either ASA or AAS
b. ASA only
c. AAS only
d. neither
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37. Based on the given information, what can you
conclude, and why?
Given:M Q,MO OQ
a. MNO QPO by ASA
b. MNO OQP by SAS
c. MNO OQP by ASA
d. MNO QPO by SAS
38. Name the theorem or postulate that lets youimmediately conclude ABD CBD.
a. AAS
b. SAS
c. ASAd. none of these
39. Use the information in the figure. Find mD.
a. 62
b. 31
c. 59
d. 121
40. Given ABC PQR,mB 2v 3, and
mQ 6v 5, find mB and mQ.
a. 17
b. 20
c. 7
d. 8
41. Complete the statement. If a transversal intersects
two parallel lines, then ____.
a. same-side interior angles are complementary
b. alternate interior angles are congruent
c. corresponding angles are supplementary
d. none of these
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42. Line ris parallel to line t. Find m5. The diagram
is not to scale.
a. 33
b. 133
c. 147
d. 23
43. Complete the statement. If a transversal intersects
two parallel lines, then ____ angles are
supplementary.
a. alternate interior
b. acute
c. corresponding
d. same-side interior
44. Find mQ. The diagram is not to scale.
a. 85
b. 105
c. 75
d. 109
45. m1 5x and m3 115. Find the value ofx forp
to be parallel to q. The diagram is not to scale.
a. 23
b. 110
c. 115
d. 120
46. Find the value ofk. The diagram is not to scale.
a. 114
b. 43
c. 91d. 89
47. Find the value ofx. The diagram is not to scale.
a. 145
b. 51
c. 106
d. 74
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48. How many sides does a regular polygon have if
each exterior angle measures 20?
a. 17 sides
b. 18 sides
c. 21 sides
d. 20 sides
49. Find the missing angle measures. The diagram is
not to scale.
a. x = 109,y = 68
b. x = 119,y = 116
c. x = 68,y = 109
d. x = 68,y = 119
50. The sum of the measures of two exterior angles of a
triangle is 260. What is the measure of the third
exterior angle?
a. 100
b. 90
c. 110
d. 80
51. The Polygon Angle-Sum Theorem states: The sum
of the measures of the angles of an n-gon is ____.
a. (n
1)180b.
180
n 1
c.n 2
180
d. (n 2)180
52. Complete this statement. The sum of the measures
of the exterior angles of an n-gon, one at each
vertex, is ____.
a. 180n
b. 360
c. (n 2)180n
d. (n 2)180
53. Find mA. The diagram is not to scale.
a. 73
b. 63
c. 117
d. 107
54. Based on the pattern, what are the next two terms ofthe sequence?
7, 16, 25, 34, . . .
a. 306, 2754
b. 52, 61
c. 43, 52
d. 43, 2754
55. Based on the pattern, what is the next figure in the
sequence?
a.
b.
c.
d.
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56. Are P, Q, andR collinear? If so, name the line on which they lie.
a. Yes, they lie on the line PR.
b. Yes, they lie on the line PS.
c. No, the three points are not collinear.
d. Yes, they lie on the line QS.
57. Name the line and plane shown in the diagram.
a. MN
and planeMNP c. lineMand planeMNP
b. MN
and plane PM d. NM
and plane PO
58. Name the ray in the figure.
a. QP
b. PQ
c. PQ
d. QP
59. FindAD.
a. 14 b. 8 c. 2 d. 16
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60. IfTis the midpoint ofSU, find the values ofx and
ST. The diagram is not to scale.
a. x = 7, ST= 42
b. x = 12, ST= 56
c. x = 12, ST= 42
d. x = 7, ST= 56
61. IfmEOF 35 and mFOG 27, then what is
the measure ofEOG? The diagram is not to scale.
a. 70
b. 62
c. 8
d. 54
62. Name an angle supplementary to COD.
a. BOD
b. COB
c. DOEd. AOE
63. How are the two angles related?
a. vertical
b. complementary
c. adjacent
d. supplementary
64. Which angle is an acute angle?
a.
b.
c.
d.
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Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value ofx.
(Figures are not drawn to scale.)
65. mO 101
a. 281
b. 202
c. 79
d. 50.5
66. mP 11
a. 39.5
b. 22
c. 101
d. 79
Find the value ofx. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
67.
a. 100
b. 50
c. 20
d. 40
68. Find the measure ofBAC. (The figure is not
drawn to scale.)
a. 69
b. 138
c. 34.5
d. 21
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Short Answer
69. DF bisects EDG. Find the value ofx. The
diagram is not to scale.
70. Find the values ofx andy. The diagram is not to
scale.
71. Find the values ofx,y, andz. The diagram is not to
scale.
72. mA 8x 2,mB 2x 8, and mC 94 4x.
List the sides ofABCin order from shortest to
longest.
73. Q is equidistant from the sides ofTSR. Find
mRST. The diagram is not to scale.
74. Find the value ofx.
75. Use the information given in the diagram. Tell why
PS QR and QRP SPR.
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76. Find the value ofx. The diagram is not to scale.
77. Find the values of the variables and the lengths of
the sides of this kite.
78. Find the values ofx andy.
Find the value ofx. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
79. FG OP, RS OQ, FG = 37,RS = 38, OP = 17 80.
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81. JK, KL, and LJ are all tangent to O (not drawn to
scale). JA = 13,AL = 11, and
CK= 15. Find the perimeter ofJKL.
82. What is the measure of a base angle of an isosceles
triangle if the vertex angle measures 48 and the
two congruent sides each measure 21 units?
83. Find mBAC. (The figure is not drawn to scale.)
84. MO
bisects LMN, mLMN 5x 27,
mLMO x 33. Find mNMO. The diagram is
not to scale.
85. IfEF 2x 16, FG 3x 19, andEG 20, find
the values ofx,EF, and FG. The drawing is not to
scale.
86. Find the circumference of the circle in terms of.
87. Find the area of the circle in terms of.
88. DFG and JKL are complementary angles.
mDFG = x 1, and mJKL = x 3. Find the
measure of each angle.
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89. 1 and 2 are supplementary angles.
m1 x 25, and m2 x 77. Find the measure
of each angle.
90. Find the value of the variable ifm l,m1 = 6x 40 and m5 = 8x 18. The diagram is
not to scale.
91. Find the coordinates of the midpoint of the segment
whose endpoints areH(9, 15) and K(3, 9).
92. DF
bisects EDG. Find FG. The diagram is not to
scale.
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ID: B
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Geometry/Trigonometry Final S1
Answer Section
MULTIPLE CHOICE
1. D
2. C
3. A
4. C
5. A
6. D
7. D
8. A
9. D
10. C
11. A
12. D
13. B
14. D
15. A
16. C
17. C
18. B
19. C
20. C
21. C
22. A
23. C
24. B
25. A
26. B
27. B
28. B
29. C
30. B
31. B
32. C
33. B
34. C
35. B
36. A
37. A
38. A
39. B
40. C
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41. B
42. C
43. D
44. C
45. A
46. C47. D
48. B
49. A
50. A
51. D
52. B
53. A
54. C
55. C
56. A
57. A58. A
59. A
60. A
61. B
62. C
63. D
64. A
65. C
66. D
67. D
68. C
SHORT ANSWER
69. 18
70. x = 76,y = 46
71. x 88, y 69, z 92
72. AC;AB;BC
73. 25
74. 7
75. Given, Given
76. x 22
77. x = 8,y = 15; 10, 19
78. x 90, y 38
79. 16.4
80. 14.2
81. 78
82. 66
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83. 48
84. 64
85. x =11,EF= 6, FG = 14
86. 90in.
87. 576in.2
88. DFG = 47, JKL = 4389. 1 39, 2 141
90. 11
91. (6, 12)
92. 6