Types of Quadrilaterals

Parallelogram:

This is a quadrilateral with a pair of opposite sides parallel and equal.

Properties of a Parallelogram:

• Both pairs of opposite sides are equal and parallel.

• Both pairs of opposite sides are congruent.

• Both pairs of opposite angles are congruent (equal).

• Consecutive angles are supplementary.

Square:

This is a quadrilateral that has all sides and angles equal. The angle is always at right angles.

Properties of a Square:

• Both pairs of opposite sides are parallel.

• All sides are equal.

• All pairs of adjacent sides are perpendicular.

• All angles are right angles i.e 90°.

• Diagonals are equal in length and bisectBisect means dividing into two equal parts. It means to divide a geometric figure such as a line, an angle or any other shape into two congruent parts (or two parts... More each other at 90°.

Rectangle:

A quadrilateral has its opposite sides equal and all its angles are right angles.

Properties of a Rectangle:

• Both pairs of opposite sides are parallel.

• Both pairs of opposite sides are congruent.

• All pairs of adjacent sides are perpendicular.

• All angles are right angles.

Rhombus:

This is a quadrilateral that has all its sides equal. Its opposite angles are equal but not at right angles.

Properties of a Rhombus:

• Both pairs of opposite sides are parallel.

• All sides are congruent and equal but no angle is a right angle.

• Both pairs of opposite angles are equal.

• Consecutive angles are supplementary.

• Diagonals are not equal in length but bisect each other at 90°.

Trapezium:

A trapezium is a quadrilateral that has two opposite sides parallel.

Properties of a Trapezium:

• Exactly one pair of opposite sides is parallel.

• Exactly two pairs of consecutive angles are supplementary.