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Geometry Midterm Review

Total questions: 66

Worksheet time: 3hrs 55mins

Name
Class
Date
1.

Based on the pattern, how many circles would come next?

a)
5
b)
7
c)
9
d)
11
2.
Give another name for line b
a)
line a
b)
R
c)
line KL
d)
line HK
3.
How would you describe points I, L, C?
a)
collinear
b)
non-coplanar
c)
symmetric
d)
coplanar
4.
Name the intersection of planes P & R. Give the best answer.
a)
Point D
b)
Point A
c)
Line AB
d)
Line FG
5.
Name the intersection of planes ADF and EHG.
a)
Point E
b)
Point F
c)
Line EF
d)
Line FG
6.

Identify this picture.

a)

ray BA

b)

line AB

c)

line segment AB

d)

ray AB

7.
Find AC
a)
7
b)
8
c)
22
d)
23
8.

Find MK.

a)

6

b)

4

c)

14

d)

8

9.
a)
MQ=4, PQ=8
b)
MQ=4, PQ=4
c)
MQ=8, PQ=4
d)
MQ=8, PQ=8
10.
Name the vertical angle to
∠h.
a)
∠f
b)
∠i
c)
∠g
d)
∠j
11.

What is the measure of ∠1\angle1 ? 

a)

60

b)

40

c)

30

d)

20

12.

If FC→\overrightarrow{FC} bisects ∠EFB\angle EFB , and m∠EFC=12x−10m\angle EFC=12x-10 , find the value of x.



(a)  

13.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
14.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

15.
What are the coordinates of the midpoint of a line segment that connects the points (7, -3) and (-5, 6)?  
a)
(6, -4.5)
b)
(2, 3)
c)
(2, 0.5)
d)
(1, 1.5)
16.
Find the value of x. 
a)
x=47
b)
x=19
c)
x=33
d)
x= -47
17.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
18.
If ∠A and ∠B are supplementary, and the measure of ∠A is 120°, what is the measure of ∠B?
a)
180
b)
50
c)
60
d)
80
19.

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

a)

Hypothesis: a man is 7 feet tall

Conclusion: he plays basketball

b)

Hypothesis: IF a man is 7 feet tall

Conclusion: THEN he plays basketball

c)

Hypothesis: THEN he plays basketball

Conclusion: IF a man is 7 feet tall

d)

Hypothesis: he plays basketball

Conclusion: a man is 7 feet tall

20.

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

a)

If an object is made of gold, then it is a ring.

b)

If an object is not a ring, then it is not made of god.

c)

If an object is not made of gold, then it is not a ring.

d)

There is no converse of the statement.

21.

What is the relationship of the angles?

a)

Corresponding angles

b)

Consecutive interior angles

c)

Alternate interior angles

d)

alternate exterior angles

22.

Which pair of angles are corresponding angles?

a)

∠\angle  7 and ∠\angle  4

b)

∠\angle  2 and ∠\angle  6

c)

∠\angle  8 and ∠\angle  1

d)

∠\angle  2 and ∠\angle  8

23.

Identify each pair of angles.

a)

alternate exterior

b)

same-side interior

c)

corresponding

d)

alternate interior

24.

Identify each pair of angles.

a)

vertical

b)

corresponding

c)

alternate exterior

d)

alternate interior

25.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate exterior

c)

alternate interior

d)

supplementary

26.

Find the value of x.

a)

x = 133

b)

x = 47

c)

x = 180

d)

x = 90

27.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
28.
What is the value of x?
a)
13
b)
6.2
c)
29.8
29.

∠5=130°\angle5=130\degree
Find the measure of angle 3.

a)

5

b)

130

c)

50

30.

Solve for x. Then find the measure of the missing angle.

a)

x = 18
60°60\degree

b)

x = 60
120°120\degree

31.

∠1\angle1  and  ∠5\angle5  are corresponding angles. If  ∠1\angle1  is 95 degrees, how much is  ∠5?\angle5?  

a)

95

b)

85

32.

Find the missing angle.

a)

39

b)

51

c)

129

d)

139

33.

Solve for x.

a)

23

b)

-20

c)

32

d)

20

34.

Solve for x.

a)

180

b)

12

c)

8

d)

16.7

35.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
36.
Name this triangle
a)
Acute, Scalene
b)
Obtuse, Scalene
c)
Right, Isosceles
d)
Acute, Equilateral
37.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
38.

How many degrees is X?

a)

65

b)

70

c)

90

d)

55

39.
Solve for x.
a)
-5
b)
8
c)
9
d)
5
40.

Find the value of x.

a)

114°114\degree

b)

66°66\degree

c)

48°48\degree

d)

24°24\degree

41.

Find the value of x

a)

10

b)

52

c)

9

d)

7

42.

Find the value of y.

a)

114°114\degree

b)

66°66\degree

c)

48°48\degree

d)

24°24\degree

43.

Which angles are the base angle?

a)

∠A\angle A

b)

∠B\angle B

c)

∠C\angle C

44.
Find the missing angle
a)
112
b)
96
c)
146
d)
46
45.

What is the measure of ∠S?

a)

not enough information

b)

30

c)

60

d)

180

46.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

47.

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

a)

9 feet

b)

19.2 feet

c)

81 feet

d)

369 feet

48.

find FE

a)

16

b)

32

c)

11

d)

26

49.
Given segment AM is a median in ΔABC. Find the length of segment BC.
a)
34
b)
6
c)
17
d)
27
50.
HK is an altitude in ΔGHI.
What is the measure of ∠HKG?
a)
60°
b)
180°
c)
90°
d)
360°
51.
a)

JM = 5

b)

JM = 10

c)

JM = 12

d)

JM = 24

52.

Select every true statement below.

a)

BC = 10 ft.

b)

AD = 36 ft.

c)

BE = 10 ft.

d)

DE = 36 ft.

53.

Solve for the value of x.

a)

x = 10

b)

x = 20

c)

x = 3

d)

x = 45

54.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no
55.
Name the angles from LARGEST to SMALLEST
a)
R, S, T
b)
S, T, R
c)
S, R, T
d)
T, S, R
56.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

57.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

58.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

59.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

60.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

61.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

62.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

63.

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

a)

MT

b)

∠T

c)

∠M

d)

∠L

64.
Identify the  missing statement or reason
a)
Reflexive Property
b)
Definition of Midpoint
c)
Given
d)
Vertical Angles Theorem
65.
What statement goes in reason 3? 
a)
Given
b)
Proof
c)
SAS
d)
AAS
66.
What is the missing piece of information required to prove these triangles congruent?
a)
QY ≅ QY
b)
NY ≅ PY
c)
∠N ≅ ∠P
d)
QY is the perpendicular bisector