# Lesson Worksheet: Trapezoid Midsegment Theorem Mathematics

In this worksheet, we will practice finding unknown lengths in trapezoids using the trapezoid midsegment theorem.

**Q1: **

Suppose that and . What is ?

**Q5: **

In a trapezoid where ,
the point is the midpoint of , is the midpoint of ,
and .
The area of the trapezoid is 513 cm^{2} and .

Find the length of and the perpendicular distance between and .

- A, distance is 19 cm
- B, distance is 17.7 cm
- C, distance is 20.5 cm
- D, distance is 19 cm
- E, distance is 6.2 cm

**Q12: **

Suppose that and . What is ?

**Q13: **

Suppose that and . What is ?

**Q15: **

True or False: The midsegment of a trapezoid is a line that goes across from any point on one leg to the midpoint of the other leg; its length is equal to half the sum of the lengths of the two bases of the trapezoid.

- AFalse
- BTrue

**Q16: **

is a trapezoid, where . is connecting the midpoints of legs and . If , , and , find the value of .

- A3
- B
- C
- D
- E18

**Q17: **

Which of the following is the correct formula to measure the length of in the trapezoid shown, using the trapezoid midsegment theorem?

- A
- B
- C
- D
- E