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AssignmentMultiple Select

Area of Special Quadrilaterals

Question 8 • SSCR 26 Math Essentials B

Which statements about special quadrilaterals are true? Select all that apply.

Answer
A
An isosceles trapezoid can be broken into a rectangle and two triangles.
B
The area of a kite can be found by multiplying the length times the width.
C
After breaking a kite into two triangles of the same size and shape, find the height of the triangles by dividing the width by 2.
D
A kite can be broken into two triangles or a rectangle and a triangle.
E
A trapezoid is a quadrilateral with two pairs of parallel opposite sides.

Explanation

An isosceles trapezoid can be split into a rectangle between its parallel sides and a triangle on each side, so A is true. A kite’s diagonals are perpendicular, and one diagonal bisects the other; splitting along the bisected diagonal gives two congruent triangles, each with a height equal to half the other diagonal, so C is true. A kite’s area is generally half the product of its diagonals, not simply length times width, and it does not generally split into a rectangle and a triangle. A trapezoid has one pair of parallel sides, not two pairs.

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