Worksheet: Applications of 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 .
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 .
- A area of , area of
- B area of , area of
- C area of , area of
- D area of , area of
- E area 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