# Worksheet: Isosceles Trapezoids

Q1:

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

Q2:

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

Q3:

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

Q4:

Given that is a trapezoid and , find .

Q5:

Given that is a trapezoid and , find .

Q6:

Which statement is true for the given trapezoid?

• A The trapezoid has two pairs of parallel sides.
• B The trapezoid has two right angles.
• C The trapezoid has three obtuse angles.
• D The trapezoid has two acute angles.
• E The trapezoid has two pairs of perpendicular sides.

Q7:

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

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.

• A 5 and 25 inches
• B 15 and 15 inches
• C 20 and 20 inches
• D 9 and 21 inches
• E 12 and 28 inches

Q9:

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

• A 23.4 cm2
• B 93.7 cm2
• C 187.5 cm2
• D 46.9 cm2

Q10:

Given that is a trapezoid and , find .

Q11:

Given that is a trapezoid and , find .

Q12:

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

• A will always
• B can never
• C can

Q13:

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

Q14:

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

Q15:

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

Q16:

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

Q17:

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

• A18.5
• B74
• C55.5
• D37
• E148

Q18:

If is an isosceles trapezoid, then which of the following is true?

• A
• B
• C
• D
• E

Q19:

How many trapezoids can you count?

• A3
• B4
• C2
• D5