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Unit 5 Review M2

Total questions: 45

Worksheet time: 3hrs 56mins

Name
Class
Date
1.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
2.
Use the diagram to determine which pair of angles is alternate exterior angles.
a)
∠1 and ∠15
b)
∠9 and ∠15
c)
∠4 and ∠11
d)
∠2 and ∠8
3.
What is the value of x if line l is parallel to line m?
a)
22
b)
26
c)
24
d)
23
4.
Solve.
a)
63, 27
b)
63, 33
c)
5, 33
d)
30, 60
5.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=3.4
b)
Complementary; x=45
c)
Supplementary; x=20
d)
Supplementary; x=175
6.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
7.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
8.
What is the measure of angle A in the triangle?
a)
116*
b)
25*
c)
62*
d)
54*
9.
T is the midpoint of segment QR. U is the midpoint of segment QS. RS = 36 and the measure of angle QUT = 85°. What is the measure of angle QSR?
a)
36
b)
85
c)
72
d)
170
10.
B is the midpoint of segment AC and D is the midpoint of segment CE. Solve for x, given BD = 5x + 2 and AE = 4x + 16.
a)
2
b)
14
c)
12
d)
16
11.
What is the value of y?
a)
3
b)
-3
c)
No Solution
d)
5
12.
Solve for x.
a)
32
b)
25
c)
38
d)
40
13.
Solve for x.
a)
-8
b)
-10
c)
11
d)
10
14.
What is the mathematical definition of theorem?
a)
a statement that has been proven on the basis of previously established statements and generally accepted as true.
b)
A statement that mathematicians has decided is true.
c)
A statement that supports an idea or hypothesis that has yet to be proven.
d)
A statement.
15.

What is the measure of <ACD?

a)

51

b)

141

c)

101

d)

39

16.
Find MK. 
a)
4
b)
6
c)
12
d)
14
17.
Q is the midpoint of PR.
PQ = 12 and PR = 5x - 1.
Find the value of x.
a)
2.6
b)
5
c)
12
d)
24
18.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
19.

Solve

a)

x = 5

b)

x = 11

c)

x = 33

d)

x = 55

20.
Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
21.
What's the midpoint of the the line-segment starting at (4, 5) and ending at (-12, 5)?
a)
(-4, 5)
b)
(-8, 5)
c)
( 8, 2.5)
d)
(8, 5)
22.
If the following three points make up a triangle:  (4,1), (2, 5) & (1,-1)
What is the perimeter of the triangle?  (round answer to nearest hundredth)
a)
4.47
b)
14.16
c)
10.55
d)
18.25
23.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5) 
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
24.
Find the distance between (-9, -1) and (-2, -6).Round to the nearest tenth.
a)
8.6
b)
12.1
c)
9.9
d)
13.0
25.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
64
b)
(3.5, 5)
c)
11.53
d)
(5, 3.5)
26.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
27.
Which is the correct reason for statements 2 and 4 in the proof?
a)
Corresponding Angles
b)
Substitution
c)
Definition of Congruent Angles
d)
Vertical Angles are congruent.
28.
Name the relationship between ∠2 and ∠7.
a)
corresponding angles
b)
alternate interior angles
c)
alternate exterior angles
d)
vertical angles
29.

What is the reason?

a)

Transitive

b)

Substitution

c)

Reflexive

d)

Segment Addition

30.
What is the REASON for Statement #2?
a)
Given
b)
Definition of Complementary Angles
c)
Substitution Property
d)
Reflexive Property of Congruence
31.
What is the REASON for Statement #5?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
32.
Given that angles A and B form a linear pair what is the next step we can conclude by definition of a linear pair?
a)
m∠A + m∠B = 90
b)
A and B are both acute angles
c)
m∠A + m∠B = 180
d)
A and B are both obtuse angles
33.
What is the measure of angle X?
a)
60
b)
40
c)
140
d)
100
34.
TS is a midsegment of triangle GHI. Solve for the value of x.
a)
4
b)
6
c)
8
d)
10
35.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
36.

Solve for x.

a)

5

b)

30

c)

34

d)

40

37.

Solve for y.

a)

-22

b)

22

c)

26.6

d)

52.7

38.

Which proof is incorrect?

a)
b)
c)
d)
39.
What is the missing statement in the proof?
a)
m∠ABD+m∠DBC=m∠ABC
b)
m∠ABD=m∠DBC
c)
m∠ABC=m∠ABC
d)
none of the other choices are correct
40.

4) What is the reason for Statement 3

a)

Corresponding Angles Postulate

b)

Angles that form a Linear Pair that sums 180°

c)

Same-side Interior Angles Theorem

d)

Vertical Angles Theorem

41.

3) What is the reason for statement 2?

a)

Given

b)

Vertical Angle Theorem

c)

Corresponding Angles Postulate

d)

Alternate Interior Angles Theorem

42.

What is the relationship of ∠1 and ∠5?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Vertical Angles

43.

What is the relationship of ∠4 and ∠7?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Linear Pair

44.

What is the relationship of ∠2 and ∠8?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Vertical Angles

45.

Find the measure of Angle CJH

a)

46

b)

71

c)

109

d)

243

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