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Worksheets

Angles from Transversals

Total questions: 23

Worksheet time: 6hrs 45mins

Name
Class
Date
1.

What line is parallel to SP ?

a)

SR

b)

NQ

c)

LM

d)

QP

2.

What line(s) are perpendicular to SP?

a)

KN

b)

MN and LK

c)

MP and LS

d)

KR

3.

What line is skew to SP?

a)

PM

b)

NM

c)

QR

d)

KR

4.

Which plane is parallel to plane KLM?

a)

QRS

b)

NKR

c)

KRS

d)

MRS

5.

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

6.

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

7.

What is the relationship of ∠3 and ∠4?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Linear Pair

8.

What is the relationship of ∠6 and ∠8?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Linear Pair

9.

What is the relationship of ∠3 and ∠7?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Vertical Angles

10.

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

11.

What statement can be made from the diagram using the Linear Pairs Postulate?

a)

∠1 and ∠2 are supplementary

b)

m∠1 + m∠2 = 180°

c)

∠1 ≅ ∠2

d)

m∠1 = m∠2

12.

What statement can be made from the diagram using the Corresponding Angles Theorem?

a)

∠1 and ∠2 are supplementary

b)

m∠1 + m∠2 = 180°

c)

∠1 ≅ ∠2

d)

m∠1 = m∠2

13.

What statement can be made from the diagram using the Alternate Interior Angles Theorem?

a)

∠1 and ∠2 are supplementary

b)

m∠1 + m∠2 = 180°

c)

∠1 ≅ ∠2

d)

m∠1 = m∠2

14.

What statement can be made from the diagram using the Alternate Exterior Angles Theorem?

a)

∠1 and ∠2 are supplementary

b)

m∠1 + m∠2 = 180°

c)

∠1 ≅ ∠2

d)

m∠1 = m∠2

15.

What statement can be made from the diagram using the Consecutive Interior Angles Theorem?

a)

∠1 and ∠2 are supplementary

b)

m∠1 + m∠2 = 180°

c)

∠1 ≅ ∠2

d)

m∠1 = m∠2

16.

If it is given that the indicated lines are parallel and that segment SF bisects ∠TSE, select ALL correct statements that could be used.

a)

∠1 ≅ ∠5 by the corresponding angles postulate

b)

∠2 ≅ ∠4 by the alternate interior angles theorem

c)

∠1 ≅ ∠2 by the definition of an angle bisector

d)

∠3 and ∠5 are supplementary by the consecutive interior angles theorem

17.

If it is given that p ∥ q, what are ALL correct statements that can be made?

a)

∠1 ≅ ∠3 by the corresponding angles theorem

b)

∠2 and ∠3 are supplementary by the linear pairs postulate

c)

m∠2 + m∠3 = 180° by the linear pairs postulate

d)

∠1 ≅ ∠2 by the alternate exterior angles theorem

18.

Is there enough information in the diagram to prove that j is parallel to k? If so, what theorem would you use?

a)

Not enough information

b)

Yes. Vertical angles.

c)

Yes. Corresponding angles.

d)

Yes. Supplementary angles and Corresponding angles.

19.

Complete the proof with the correct reason.

a)

Def of Corr Angles

b)

Corr Angle Theorem

c)

Corr Angle Convese

d)

S-S Int Thm

20.
a)
Alt Int Angle Post
b)
Alt Int Angle Definition
c)
Alt Int Angle Thm
d)
Alt Int Angle Converse
21.

Find the measure of angle 2.

a)

115

b)

65

c)

35

d)

Not enough information

22.

Solve for the variable.

a)

x = 8

b)

x = 4

c)

x = 4.8

d)

x = 5.6

23.

Solve for the variable.

a)

x = 16

b)

x = 8

c)

x = 4

d)

x = 2