Properties of squares and rectangles

Key Notes:

A square is both a rhombus and a rectangle. The diagonals of a square bisect opposite congruent angles, bisect each other, and are congruent.

Learn with an example

Quadrilateral PQRS is a square. What is ∠QPT?

Since PQRS is a square, ∠QPS=90° and PR bisects ∠QPS.

So, ∠QPT=45°.

Quadrilateral WXYZ is a square. What is XZ?

Since WXYZ is a square, its diagonals bisect each other and are congruent.

So, VZ=VX=36 and XZ=72.

Quadrilateral ABCD is a square. What is AC?

Since ABCD is a square, its diagonals bisect each other and are congruent.

So, AE=CE=10 and AC=20.

let’s practice!