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Geometry Midterm Practice
1. Two segments that have equal lengths are:
A. collinear
B. congruent
C. coplanar
D. perpendicular
Use the diagram to the right to answer questions 2 – 5.
2. In the plane figure shown, BEC and BEA are:
A. vertical angles
B. nonadjacent angles
C. complementary angles
D. supplementary angles
B
A
C
3. mDEB + mAEB =
A. mBEC
B. mAEC
C. mCED
D. mAED
E
F
4. If m DEC = 20, then m AED =
A. 60
B. 150 C. 110
D. 120
5. If m 1 = 25 and m CED = 55, then 1 and CED are:
A. acute angles
B. complementary angles
C. supplementary angles
D. obtuse angles
Use the diagram below to answer questions 6 and 7.

y
A (-1,5)


B (7,1)
x





6. What is the slope
A. ½
B. -½
of line AB?
C. 2
7. What is the distance from A to B?
A. 5.5
B. 80
C. 4 5
D. –2
D. 2 3
D
Use the diagram and the information below to answer questions 8 – 10.
M
N
O
P
Q
MQ = 30, MN = 5, MN = NO, OP = PQ
8. Find the length of OQ
A. 10
B. 15
C. 20
D. 25
9. Find the length of PQ
A. 5
B. 10
C. 15
D. 20
10. Find the midpoint of a segment with endpoints A(-7, 3) and B(3, -3)
A.(-2, -3)
B.(-2, 0)
C. (–5, 0)
11. AB bisects CAD. Find the
value of x.
A. 2
D.(2, 0)
(8x - 20)
B. 4
C
C. 5
D. 6
B
A
(0.5x + 25)
D
12. Which property of equality matches the conditional statement, “If AB = BC and BC = CD,
then AB = CD?”
A. Symmetric
B. Transitive
C. Reflexive
D. Addition
13. The converse of the statement “If it is Saturday, then there is no school” is
A. If there is no school, then it is Saturday.
B. There is no school if it is Saturday.
C. When it is Saturday there is no school.
D. There is no school only if it is not Saturday.
14. The converse of q  r is:
A. r  q
B. r  q
C. r  q
15. In the conditional statement p  q, the p is called the:
A. hypothesis B. conclusion C. deduction D. converse
D. none of these
16. K and J are complementary angles. If m K = 36, find m J.
A. 71
B. 161
C. 90
D. 54
17. P and Q form a linear pair and m P = 118. Find m Q.
A. 62
B. 28
C. 118 
D. 90
18. Two angles are supplementary. If one of the angles is 27, then the other angle is
A. 27
B. 54
C. 63
D. 153
19. If m3 = 126, then m2 = _______
A. 36
B. 64
C. 126
D. not given
1
2
3
4
Use the diagram below to answer questions 20 and 21.
(3x + 18)°
20. Solve for x in the diagram.
A. 20
B. 45
C. 48
(5x + 2)°
2(y + 6)°
D. 102
21. Solve for y in the diagram.
A. 20
B. 45
C. 48
D. 102
Match the term with its diagram. Use each letter ONCE.
22. consecutive interior angles
A.
23. corresponding angles
26. same side exterior angles
1
2
24. alternate interior angles
25. alternate exterior angles
D.
1
B.
2
E.
1
1
2
C.
2
1
2
A.
27. vertical angles
D.
2
1
28. linear pair
29. supplementary angles
B.
30. complementary angles
E.
1
30°
60°
31. right angle
C.
70°
110°
32. A line parallel to y = 2/3 x – 7 is
A. y = -2/3 x + 7
B. y = -2/3 x – 7
C. y = 2/3 x + 1
D. y = 3/2 x + 2
33. The line y = -½ x +3 is perpendicular to which line?
A. y = -½ x + 6
B. y = ½ x + 1
C. y = -2x
D. y = 2x – 3
E.
For exercises 34 – 35, use the diagram below, where lines a and b are parallel.
1
2
3
5
7
4
a
6
8
b
34. Choose the reason the statement “If m1 = 85, then m5 = 85” is true.
A. Alternate Int. s Theorem
B. Alternate Ext.s Theorem
C. Consecutive Int. s Theorem
D. Corresponding s Postulate
2
35. Choose the reason the statement “If m3 = 45, then m5 = 135” is true.
A. Alternate Int. s Theorem
B. Alternate Ext.s Theorem
C. Consecutive Int. s Theorem
D. Corresponding s Postulate
36. What value of x would make lines w and v parallel?
A. 20
120°
w
B. 40
v
C. 60
(3x + 60)°
D. 120
37. Which of the statement(s) must be true if a  b AND x  y?
I. m1 = m6
II. m 3 + m5 = 180
III. m 7 + m8 = 180
b
a
1
2
A. I only
4
3
x
5
B. II only
6
C. III only
7
8
9
y
D. I and III

(-2,7)
y
(0,6)
38. Which lines are parallel?
A. a and b

(-3,5)
c
B. b and c
 (0,3)
C. a and c
(-3,2)
D. all three lines

B (7,1)
b
39. The sum of all three angles in a triangle is
A.60
B. 90 C. 180
D.360
(0,0)




40. How many obtuse angles can an isosceles triangle have?
A. 0
B. 1
C. 2
D. 3
41. A triangle with three acute angles and no congruent sides is ______
A. an equiangular triangle
B. a right triangle
C. an acute isosceles triangle
D. an acute scalene triangle

a
x
42. A triangle with sides that measure 3 ft, 5 ft, and 5 ft is
A. an equilateral triangle
B. a right triangle
C. an isosceles triangle
D. a scalene triangle
43. The triangle to the right can be classified as
A. acute isosceles
B. acute scalene
C. obtuse isosceles
D. obtuse scalene
35°
44. The measure of one base angle of an isosceles triangle is 63.
Find the measure of the vertex angle.
A. 54
B. 63
C. 76
D. 128
63°
45. Find the measure of 1.
A. 30
1
B. 65
60°
C. 85
65°
D. 90
46. Find the value of x if M  B and K  C.
A. 29
K
B. 40
C. 43
D. 58
40°
E.
M
B
(3x – 5)°
2x°
L
A
47. Find the value of x
A. 57
B. 62
C. 119
D. 237
57
119
x
C
48.Which postulate or theorem can be used to prove that ABC  BAD?
A. SSS
A
B. SAS
D
C. ASA
D. AAS
C
B
Use the diagram below to answer questions 49 – 50.
49. What is the value of x and y?
A. x = 70, y = 55
B. x = 55, y = 110
C. x = 70, y = 110
D. x = 70, y = 145
z°
x°
y°
35°
50. What is the value of w and z?
A. w = 145, z = 70
B. w = 110, z = 55
C. w = 110, z = 70
D. w = 145, z = 55
51. Which is the shortest side?
A. AC
B. AB
C. BC
D. a or c
B
45°
65°
C
A
52. List the sides in order from longest to shortest.
A. GF , EF , EG
E
60°
B. EG , GF , EF
C. EF , EG, GF
D. EF , GF , EG
40°
G
53. If line a is parallel to line b, what is m1?
A. 40
B. 50
C. 90
D. 140
F
w°
54. A ladder is leaning against a house at an angle of 38 as shown in the diagram.
What is the measure of the angle, x, between the ladder and the ground?
A. 38
B. 42
C. 52
D. 142
55. Lines AB and CD intersect at P. PR is perpendicular to AB ,
and MAPD is 170.
What is the measure of DPB?
A. 10
B. 20
C. 30
D. 40
56. The diagram shows how a periscope works. If the two mirrors are
parallel and 1  3, what is m6 when m2 = 90?
A. 30
B. 45
C. 50
D. 60
57. Using the information on the diagram, which is true?
A. BD  EF
B. BD  DE
C. CB  BD
D. CB  DE
58. Line a is parallel to line b if –
A. m4 = m2
B. m3= m5
C. m4 = m5
D. m3= m2
59. Triangle ABC is a right triangle with the right angle at C.
Which are possible measures for angle A and angle B?
A. 48 and 50
B. 38 and 32
C. 52 and 38
D. 52 and 128
60. On the shores of a river, surveyors marked locations A, B, and C.
The measure of ACB = 70, and the measure of ABC = 65.
Which lists the distances between these locations in order, from least to greatest?
A. A to B, B to C, A to C
B. B to C, A to B, A to C
C. B to C, A to C, A to B
D. A to C, A to B, B to C
61. Three lookout towers are located at points A, B, and C on the section
of a national forest shown in the drawing.
Which of the following statements is true concerning ABC formed by the towers?
A. mA is greatest.
B. mC is greatest.
C. mA is least.
D. mC is least.
62. The figure has angle measures as shown.
What is the measure of BCD?
A. 120
B. 80
C. 60
D. 30
Question Answer
1B
2C
3D
4C
5A
6B
7C
8C
9B
10 B
11 D
12 B
13 A
14 A
15 A
16 D
17 A
18 D
19 C
20 A
21 B
22 C
23 A
24 E
25 B
26 D
27 E
28 D
29 C
30 B
31 A
Question Answer
32 C
33 D
34 D
35 C
36 A
37 D
38 A
39 C
40 B
41 D
42 C
43 C
44 A
45 C
46 A
47 B
48 C
49 C
50 D
51 A
52 D
53 A
54 C
55 A
56 B
57 D
58 C
59 C
60 C
61 A
62 C