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Parallel Lines & Transversals Quiz

Total questions: 11

Worksheet time: 55mins

Name
Class
Date
1.

What four segments are parallel to plane PNRQ?

a)

Segments JK, KL, ML and JM

b)

Segments JN, MR, LQ, and KP

c)

Segments NP, RQ, PQ, and JM

d)

Segments KP, LQ, JK, and ML

2.

What is the relationship between ∠3\angle3 and ∠6\angle6 ?

a)

corresponding

b)

same-side (consecutive) interior

c)

alternate interior

d)

alternate exterior

3.

Identify a pair of alternate exterior angles.

a)

∠3\angle3 and ∠4\angle4

b)

∠1\angle1 and ∠2\angle2

c)

∠1\angle1 and ∠6\angle6

d)

∠2\angle2 and ∠6\angle6

4.

What are three pairs of corresponding angles?

a)

1 & 2, 3 & 8, 4 & 7

b)

1 & 7, 8 & 6, 2 & 4

c)

3 & 4, 7 & 8, 1 & 6

d)

1 & 7, 2 & 4, 6 & 7

5.

Given r∥tr\parallel t , find m∠5m\angle5 . Diagram is not to scale.

a)

45°45\degree

b)

35°35\degree

c)

135°135\degree

d)

145°145\degree

6.

Find m∠Pm\angle P . Diagram is not to scale.

a)

50°50\degree

b)

60°60\degree

c)

40°40\degree

d)

130°130\degree

7.

Given f∥gf\parallel g , find the value of x. Diagram is not to scale.

a)

10

b)

11

c)

12

d)

-11

8.

Which lines are parallel if m∠1+m∠2=180m\angle1+m\angle2=180 ? Justify your answer.

a)

j∥kj\parallel k ,

converse of same-side (consecutive) interior angles

b)

j∥kj\parallel k ,

converse of alternate interior angles

c)

g∥hg\parallel h ,

converse of alternate interior angles

d)

g∥hg\parallel h ,

converse of same-side (consecutive)

interior angles

9.

Which lines are parallel if ∠3≅∠6\angle3\cong\angle6 ? Justify your answer.

a)

r∥sr\parallel s ,

converse of same-side (consecutive)

interior angles

b)

r∥sr\parallel s ,

converse of alternate interior angles

c)

l∥ml\parallel m ,

converse of alternate interior angles

d)

l∥ml\parallel m ,

converse of same-side (consecutive) interior angles

10.

Find the value of x so that l∥ml\parallel m . Diagram is not to scale.

a)

100

b)

80

c)

123

d)

41

11.

Find the value of the variable if l∥ml\parallel m , m∠1=2x+44m\angle1=2x+44 and m∠5=5x+38m\angle5=5x+38 . Diagram not to scale.

a)

1

b)

2

c)

3

d)

-2