Question

which of the following quadrilaterals have diagonals that bisect each other?
check all that apply.

a. rectangle
b. square
c. parallelogram
d. rhombus

Explanation:

Identify the defining property of parallelograms

A quadrilateral is a parallelogram if and only if its diagonals bisect each other.

Apply the quadrilateral hierarchy

Rectangles, squares, and rhombuses are all sub-types of parallelograms, meaning they inherit all properties of parallelograms.

Evaluate all options

All four listed shapes (Rectangle, Square, Parallelogram, Rhombus) are parallelograms and therefore have diagonals that bisect each other.

Answer:

• A. Rectangle (Correct answer)
• B. Square (Correct answer)
• C. Parallelogram (Correct answer)
• D. Rhombus (Correct answer)