# Lesson Worksheet: Parallel Lines and Transversals: Proportional Parts Mathematics • 11th Grade

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:

In the figure, lines , and are all parallel. Given that , , , and , what is the length of ? Q3:

Find the lengths of and . • A,
• B,
• C,
• D,

Q4:

Given that , , , and , determine the lengths of and . • A36 cm, 22.5 cm
• B36 cm, 42 cm
• C67.2 cm, 22.5 cm
• D37.5 cm, 42 cm

Q5:

In triangle , , , and . Find the length of .

Q6:

In the diagram below, , , , , and . Find the value of and the length of . • A,
• B,
• C,
• D,

Q7:

Given that , , , , , and , find the values of and . • A,
• B,
• C,
• D,

Q8:

In the figure, , , , and . Find the value of . Q9:

Given that , find the length of . Q10:

In the following figure, , , , and . Find the values of and . • A,
• B,
• C,
• D,