# Worksheet: Parallel Lines in a Triangle

In this worksheet, we will practice finding a missing length in a triangle using two or three parallel lines in it using proportionality.

Q1:

In the figure, segments and are parallel. If , , and , what is the length of ? Q2:

Determine , if . • A
• B
• C
• D

Q3:

In the figure, and are parallel to and respectively. If , , and , determine the length of . Q4:

Find the length of . Q5:

If , , and , find the length of . Q6:

If the perimeter of , is the midpoint of , and , find the length of . Q7:

Given that is the midpoint of , the perimeter of is 33 cm, , and , find the length of . Q8:

Given that is a parallelogram, where and are the midpoints of and respectively, find the length of . Q9:

Given that is a parallelogram, find . Q10:

On the figure, is a parallelogram whose diagonals intersect at , and is a point on . If , what is ? Q11:

Given that is a parallelogram, find the length of . Q12:

is a parallelogram, where and are the midpoints of and , respectively, and . Determine the length of . Q13:

Given that the area of the parallelogram and that of the , find the area of and that of the . • Aarea of , area of
• Barea of , area of
• Carea of , area of
• Darea of , area of
• Earea of , area of

Q14:

In the figure, is a parallelogram with on and rays and meeting at . Find the length of . Q15:

In the given parallelogram, and . Determine . Q16:

Given that is a parallelogram, find the length of . Q17:

Given that is a parallelogram, find the length of . Q18:

If the perimeter of the parallelogram below is 39.6 cm, find the length of . Q19:

is a parallelogram, and is an interior point in it, where bisects angle , and bisects angle . If is the midpoint of and , determine the length of .

Q20:

Given that is a parallelogram, and , determine . Q21:

Given that is a rectangle, and is a parallelogram, find the area of . Q22:

Given that , , and , find . Q23:

Find the length of . Q24:

Determine , if . • A
• B
• C
• D

Q25:

Find the value of . 