Quadrilaterals and Their Properties

Which properties are associated with a trapezium?

What is a key property of a kite?

A parallelogram has both pairs of opposite sides equal in length.

All rectangles have four sides that are equal.

What do you call a quadrilateral with all sides equal and all angles equal?

A _______ has diagonals that bisect each other at 90°.

Match the following quadrilaterals with their properties:

Quadrilaterals Overview

Quadrilaterals are polygons with four rigid sides.

Trapezium

Contains one pair of opposite sides that are parallel.

Kite

Features two pairs of adjacent sides that are equal in length.
One pair of opposite angles is equal (angles between unequal sides).

Parallelogram

Both pairs of opposite sides are equal in length.
Both pairs of opposite angles are equal.
Diagonals bisect each other, ensuring equal division.
Both pairs of opposite sides are parallel.

Rectangle

Shares all properties of a parallelogram.
All four angles are equal to 90 degrees.
Diagonals are equal in length, providing symmetry.

Rhombus

Inherits all characteristics of a parallelogram.
All four sides are equal in length.
Diagonals intersect at 90 degrees and bisect each other.
Diagonals also bisect both pairs of opposite angles.

Square

Combines all properties of a parallelogram, rectangle, and rhombus.
All four angles equal 90 degrees.
Diagonals are equal in length and meet at 90 degrees, bisecting both pairs of opposite angles (resulting in 45° angles).

This quiz covers the various types of quadrilaterals, including trapeziums, kites, and parallelograms. Test your knowledge about their unique properties such as side lengths, angle measures, and parallel sides. Challenge yourself to identify and categorize these shapes based on their characteristics.