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.
- A will always
- B can never
- C can
Q2:
How many trapeziums can you count?
Q4:
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.
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.
- 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:
Given that Engy 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
Q10:
is an isosceles trapezium where and . Find the area giving the answer to two decimal places.
Q11:
Find the area of an isosceles trapezium , given and . Give the answer to one decimal place.
Q12:
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
Q13:
If is an isosceles trapezium, then which of the following is true?
- A
- B
- C
- D
- E
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 .