# Lesson Worksheet: Parallel Lines and Transversals: Other Relationships Mathematics

In this worksheet, we will practice applying the angle relationships between a pair of parallel lines and a transversal to establish and use other relationships between parallel lines and transversals.

Q1:

True or False: If three or more parallel lines cut off congruent segments on one transversal, then they cut off equal segments on every transversal.

• AFalse
• BTrue

Q2:

Given that , find the length of . Q3:

Given that and , find . Q4:

True or False: In the given figure, if , then . • ATrue
• BFalse

Q5:

Fill in the blank: If and , then . • A
• B
• C

Q6:

If and , which of the following is correct? • A is perpendicular to .
• B bisects line .
• C bisects line segment .
• D is parallel to .
• E is perpendicular to .

Q7:

If and , find . Q8:

If is a point on and is a point on , and , which of the following is correct?

• A bisects .
• B is perpendicular to .
• C bisects .
• D is parallel to .
• E is parallel to .

Q9:

Consider triangle and lines and , which are parallel to . Find the length of .

Find the measure of .

Q10:

If , , and , find the length of , where and . This lesson includes 1 additional question and 45 additional question variations for subscribers.