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

**Q1: **

Suppose that and . What is ?

- A128
- B111.5
- C95
- D62

**Q3: **

If and , find the length of .

**Q4: **

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

**Q5: **

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

Find the length of and the perpendicular distance between and .

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

**Q8: **

If and , find the length of .

**Q9: **

If and , find the length of .

**Q10: **

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

**Q11: **

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

**Q12: **

Suppose that and . What is ?

- A168
- B158.5
- C149
- D130

**Q13: **

Suppose that and . What is ?

- A196
- B186.8
- C177.5
- D159