# Worksheet: Isosceles Trapezoids

In this worksheet, we will practice identifying an isosceles trapezoid and using its properties to solve word problems.

**Q1: **

Choose the option that makes this sentence true: A trapezoid have exactly one pair of congruent sides.

- Awill always
- Bcan
- Ccan never

**Q4: **

Which statement is true for the given trapezoid?

- AThe trapezoid has three obtuse angles.
- BThe trapezoid has two pairs of perpendicular sides.
- CThe trapezoid has two right angles.
- DThe trapezoid has two pairs of parallel sides.
- EThe trapezoid has two acute angles.

**Q7: **

Given that is a trapezoid and , find .

**Q8: **

A frame is to be constructed in the shape of a regular trapezoid with a perimeter of 50 inches and a height of 8 inches, where both of the nonparallel sides have a length of 10 inches. Work out the lengths of the two parallel sides.

- A5 and 25 inches
- B9 and 21 inches
- C15 and 15 inches
- D12 and 28 inches
- E20 and 20 inches

**Q11: **

Find the area of an isosceles trapezoid , given and . Give the answer to one decimal place.

**Q12: **

An isosceles trapezoid of area 74 is divided into two symmetrical pieces by its line of symmetry. What is the area of each piece?

**Q16: **

Given that is a trapezoid and , find .

**Q20: **

Given that is a trapezoid, , and , find .