Parallel Line Cut By A Transversal Quiz

For each question, use the reference sheet given for the diagram. Which line is the transversal?

• Line a

• Line b

• Line t

• None of the lines

Answer explanation

The transversal is the line that's passing (intersecting) the parallel lines.

For each question, use the reference sheet given for the diagram. True or False: Lines a and b are perpendicular.

• True

• False

Answer explanation

Parallel line do not touch and go in the same directions.

Perpendicular lines cross (intersect) and create right (90 degree) angles.

For each question, use the reference sheet given for the diagram. If ∠6 measures 106◦, what is the m∠7?

• m∠7 = 74◦

• m∠7 = 106◦

• m∠7 = 90◦

• m∠7 = 180◦

Answer explanation

∠6 & ∠7 are supplementary so you need to subtract the given angle from 180 to find m∠7.

For each question, use the reference sheet given for the diagram. If ∠6 measures 106◦, what is the m∠7?

• m∠7 = 74◦

• m∠7 = 106◦

• m∠7 = 90◦

• m∠7 = 180◦

Answer explanation

∠6 & ∠1 do not have relationship so it is safe to say they are supplementary.

For each question, use the reference sheet given for the diagram. What is the vertical angle of ∠4?

• ∠3

• ∠1

• ∠2

• ∠7

For each question, use the reference sheet given for the diagram. What is the vertical angle of ∠7?

• ∠3

• ∠8

• ∠5

• ∠4

For each question, use the reference sheet given for the diagram. Are ∠1 and ∠3 congruent to each other?

• No, they are vertical angles.

• Yes, they are alternate exterior angles.

• Yes, they are corresponding angles.

• No, they are supplementary angles.

For each question, use the reference sheet given for the diagram. Are ∠2 and ∠7 congruent to each other?

• No, they are complementary angles.

• Yes, they are alternate interior angles.

• Yes, they are consecutive interior angles. (same side)

• No, they are supplementary angles.

For each question, use the reference sheet given for the diagram. Which two angles are alternate exterior?

• ∠5 and ∠6

• ∠1 and ∠8

• ∠1 and ∠3

• ∠2 and ∠7

For each question, use the reference sheet given for the diagram. Which of the following two angles are congruent?

• ∠4 and ∠6

• ∠2 and ∠5

• ∠8 and ∠3

• ∠1 and ∠3