A quadrilateral is a four-sided polygon.

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What is a Quadrilateral?

Quadrilaterals fall into a hierarcy:

That means some quadrilaterals include other quadrilaterals.

For example: a square, rectangle, and rhombus are all a parallelogram. But a parallelogram doesn't have to be a square.

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Quadrilaterals

Trapezoids

Rectangle

Rhombus

Parallelograms

Square

Have AT LEAST one pair of parallel sides.

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Trapezoid

A parallelogram has exactly TWO sets of parallel sides.
A parallelogram is also a trapezoid because it has one set of parallel sides.

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Parallelogram

-A rhombus has four equal sides.
-A rhombus is also a parallelogram because it has two sets of parallel sides.
-A rhombus is also a trapezoid because it has at least one set of parallel sides.

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​Rhombus

-A rectangle has two sets of parallel sides and four right angles. Opposite sides are congruent.
-A rectangle is also a parallelogram because it has two sets of parallel sides.
-A rectangle is also a trapezoid because it has at least one set of parallel sides.

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​Rectangle

-A square has four congruent sides, two sets of parallel sides, and four right angle.
-A square is ALSO a... rhombus, a rectangle, a parallelogram, AND a trapezoid!

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Square