Question

which statements about special quadrilaterals are true? choose two correct answers. an isosceles trapezoid can be broken into a rectangle and two triangles. a kite can be broken into two triangles or a rectangle and a triangle. 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. a trapezoid is a quadrilateral with two pairs of parallel opposite sides. the area of a kite can be found by multiplying the length times the width. this question requires at least 2 answers.

Explanation:

Step1: Analyze the first statement

An isosceles trapezoid can be broken into a rectangle and two triangles. This is a valid geometric decomposition.

Step2: Analyze the second statement

A kite can be broken into two triangles (by its diagonal), but not into a rectangle and a triangle.

Step3: Analyze the third statement

After breaking a kite into two triangles of the same size and shape, the height of the triangles is not found by dividing the width by 2. The area of a kite is \(A=\frac{1}{2}d_1d_2\) (where \(d_1\) and \(d_2\) are diagonals).

Step4: Analyze the fourth statement

A trapezoid is a quadrilateral with one pair of parallel sides, not two pairs.

Step5: Analyze the fifth statement

The area of a kite is \(A = \frac{1}{2}d_1d_2\) (diagonals), not length times width (which is for rectangles).

Answer:

An isosceles trapezoid can be broken into a rectangle and two triangles.