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Proofs of Lines, Angles, Triangles, and Parallelograms

Total questions: 25

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

What is the relationship between angle 1 and angle 5?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Same Side Exterior Angles

d)

Vertical angles

2.

What is the relationship between angle 1 and angle 7?

a)

Same Side Exterior Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same Side Interior Angles

3.

What is the relationship between angle 8 and angle 6?

a)

Corresponding Angles

b)

Same Side Interior Angles

c)

Same Side Exterior Angles

d)

Vertical Angles

4.

What is the value of x?

a)

x = 45

b)

x = 135

c)

x = 90

d)

x = 35

5.

Find the value of x.

a)

x = 130

b)

x = 31

c)

x = 44

d)

x = 180

6.

What is the value of x?

a)

x = 234

b)

x = 54

c)

x = 126

d)

x = 36

7.

Can these sides form a triangle? 2, 9, 5

a)

Yes

b)

No

8.

Can these sides form a triangle?

6 14, 14 12, 6 126\ \frac{1}{4},\ 14\ \frac{1}{2},\ 6\ \frac{1}{2}  

a)

Yes

b)

No

9.

Which of the following could be the third side of a triangle with sides 5.2 and 7.2? Check all that apply.

a)

21

b)

2

c)

9

d)

12.4

e)

11

10.

Find the measure of the missing angles.

a)

A

b)

B

c)

C

d)

D

11.
Solve for the missing angle with the question mark. 
a)
A
b)
B
c)
C
d)
D
12.

Find the measure of the missing angles.

a)

A

b)

B

c)

C

d)

D

13.

What is the value of the missing angle?

a)

105

b)

80

c)

55

d)

25

14.

What is reason 2?

a)
b)
c)
d)
15.

What is reason 2?

a)
b)
c)
d)
16.

AB + BC = AC

a)

Angle addition postulate

b)

Segment addition postulate

c)

Definition of supplementary angles

d)

Transative property

17.

If m<1 + m<2 = 50 and m<2 = 10, then m<1 + 10 = 50

a)

Transitive property

b)

Substitution

c)

Definition of angle bisector

d)

Subtraction POE

18.

The symbol ≅\cong  means..........

a)

Congruent

b)

transitive

c)

equal sign

d)

supplementary

19.

When writing a proof start with ......

a)

The given

b)

Transative property

c)

Supplementary angles

d)

Subtraction POE

20.
Find the measure of ONE exterior angle of a regular decagon.
a)
36
b)
10
c)
18
d)
40
21.
The sum of the interior angles of a polygon is __________________ where n is the number of sides.
a)
(n - 2)180
b)
(n - 1)180
c)
360
d)
(n - 3)(180)
22.
The sum of the exterior angles of a polygon is __________________ where n is the number of sides.
a)
360
b)
n
c)
(n - 2)180
d)
(n - 1)180
23.

Find the measure of one interior angle in regular 25-gon. Round your answer to the nearest tenth if necessary.

a)

164.3⁰

b)

167.1⁰

c)

165.6⁰

d)

166.7⁰

24.

Find the measure of one exterior angle in the regular polygon. Round your answer to the nearest tenth if necessary.

a)

32.7⁰

b)

90⁰

c)

45⁰

d)

60⁰

25.
A polygon's interior angles add up to 2700.  How many sides does the polygon have?
a)
17
b)
15
c)
19
d)
11