# 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

Q2:

How many trapezoids can you count? Q3:

The figure shows an isosceles trapezoid. Given that and , find . 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.

Q5:

The speaker shown is an isosceles trapezoid. If , find . Q6:

Given that is a trapezoid and , find . 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

Q9:

Given that Jennifer is cutting a piece of fabric, where the top of the piece measures 2 ft, the bottom measures 3 ft, and each side measures 4 ft, determine the shape she is cutting the fabric.

• Aa cube
• Ba parallelogram
• Ca triangle
• Da rectangle
• Ea trapezoid

Q10:

is an isosceles trapezoid where and . Find the area giving the answer to two decimal places. 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?

Q13:

If is an isosceles trapezoid, then which of the following is true? • A
• B
• C
• D
• E

Q14:

The figure shows an isosceles trapezoid. Given that and , find . Q15:

The figure shows an isosceles trapezoid. Given that and , find . Q16:

Given that is a trapezoid and , find . Q17:

Given that is a trapezoid and , find . Q18:

The speaker shown is an isosceles trapezoid. If , find . Q19:

The speaker shown is an isosceles trapezoid. If , find . Q20:

Given that is a trapezoid, , and , find . 