# Worksheet: Trapezoid Midsegment Theorem

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

**Q1: **

Suppose that and . What is ?

**Q4: **

Find the length of the middle base of a trapezoid whose parallel bases are 107 cm and 246 cm.

**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

**Q10: **

Find the length of the middle base of a trapezoid whose parallel bases are 14 cm and 46 cm.

**Q11: **

Find the length of the middle base of a trapezoid whose parallel bases are 27 cm and 54 cm.

**Q12: **

Suppose that and . What is ?

**Q13: **

Suppose that and . What is ?