In this worksheet, we will practice using parallelism of lines to find a missing length of a line segment in a transversal line cut by parallel lines.

**Q1: **

Using the information in the figure, determine the length of .

**Q2: **

Given that , , , and , determine the lengths of and .

- A 36 cm, 22.5 cm
- B 37.5 cm, 42 cm
- C 67.2 cm, 22.5 cm
- D 36 cm, 42 cm

**Q3: **

If , what is ?

**Q5: **

Given that , , , and , find the value of .

**Q6: **

In the figure, lines , and are all parallel. Given that , , , and , what is the length of ?

**Q7: **

Find the lengths of and .

- A ,
- B ,
- C ,
- D ,

**Q8: **

Given that , , , and , find the length of and .

- A ,
- B ,
- C ,
- D ,

**Q9: **

Given the following figure, find the numerical values of and .

- A ,
- B ,
- C ,
- D ,

**Q10: **

In the figure, , , , and . Find the value of .

**Q11: **

In the following figure, , , , and . Find the values of and .

- A ,
- B ,
- C ,
- D ,

**Q12: **

Given that cm, cm, cm, , and , find the lengths of and .

- A ,
- B ,
- C ,
- D ,

**Q13: **

Find the values of and .

- A ,
- B ,
- C ,
- D ,

**Q14: **

Given that cm, cm, cm, , , and , find the values of and .

- A ,
- B ,
- C ,
- D ,

**Q15: **

Given that , , and , determine the values of and .

- A ,
- B ,
- C ,
- D ,

**Q16: **

In the diagram below, , , , , and . Find the value of and the length of .

- A ,
- B ,
- C ,
- D ,

**Q17: **

In the figure, given that , what is ?

**Q18: **

Suppose and intersect at point , and that and are parallel. If , , and , what is ?

**Q19: **

Suppose that, in the figure, and . What is the length of ?

**Q20: **

Given that , find the length of .

**Q21: **

Given that , find the value of .

**Q22: **

Draw with , , and . Bisect at , and draw parallel to and meeting at . Find the lengths , , and rounded to one decimal place.

- A , ,
- B , ,
- C , ,
- D , ,

**Q23: **

Given that , , and , find the perimeter of . Round your answer to two decimal places.

**Q24: **

, , and are three parallel planes intersected by the two coplanar straight lines and . If , , and , find the length of .