Question

If the diagonals of a quadrilateral are equal and bisect each other at right angles it is a ______.

Options

• Parallelogram

• Square

• Rectangle

• Rhombus

Answer 1

If the diagonals of a quadrilateral are equal and bisect each other at right angles it is a square.

Explanation:

• Bisect each other indicates that the figure is a parallelogram.
• At right angles narrows it down to either a rhombus or a square, as their diagonals are perpendicular.
• Are equal identifies it as either a rectangle or a square, as their diagonals have the same length. 

Since a square is both a rhombus and a rectangle, its diagonals possess all three properties simultaneously.