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# 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 .