Quadrilaterals

Classifying Quadrilaterals

By Elizabeth Fogarty

A quadrilateral is a four-sided polygon.

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What is a Quadrilateral?

Draw

Draw 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

Draw

Draw two trapezoids:

One with ONE pair of parallel sides

One with TWO pairs of parallel sides

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

Draw

Draw a parallelogram.

Multiple Choice

Is a parallelogram also a trapezoid?

• Yes, always

• Sometimes

• No, never

Multiple Choice

Is a trapezoid also a parallelogram ?

• Yes, always

• Sometimes

• No, never

-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

Draw

Draw a rhombus

Multiple Choice

A rhombus is also a parallelogram and trapezoid.

• Yes, always

• Sometimes

• No, never.

Multiple Choice

A trapezoid is also a rhombus.

• Yes, always

• Sometimes

• No, never.

Multiple Choice

A parallelogram is also a rhombus.

• Yes, always

• Sometimes

• No, never.

-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

Draw

Draw a rectangle

Multiple Choice

A rectangle is also a parallelogram and trapezoid.

• Yes, always

• Sometimes

• No, never.

Multiple Choice

A trapezoid is also a rectangle.

• Yes, always

• Sometimes

• No, never.

Multiple Choice

A parallelogram is also a rectangle.

• Yes, always

• Sometimes

• No, never.

-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

Draw

Draw a square.

Multiple Choice

A square is also a rhombus, a rectangle, a parallelogram, and a trapezoid.

• Yes, always

• Sometimes

• No, never

Multiple Choice

A rhombus is also a square.

• Yes, always

• Sometimes

• No, never

Multiple Choice

A rectangle is also a square.

• Yes, always

• Sometimes

• No, never

Multiple Choice

A parallelogram is also a square.

• Yes, always

• Sometimes

• No, never

Multiple Choice

A trapezoid is also a square.

• Yes, always

• Sometimes

• No, never

Multiple Select

What are all the things you can name this shape?

• trapezoid

• parallelogram

• rhombus

• rectangle

• square

Multiple Select

What are all the things you can name this shape?

• trapezoid

• parallelogram

• rhombus

• rectangle

• square

Multiple Select

What are all the things you can name this shape?

• trapezoid

• parallelogram

• rhombus

• rectangle

• square

Multiple Select

What are all the things you can name this shape?

• trapezoid

• parallelogram

• rhombus

• rectangle

• square

Multiple Select

What are all the things you can name this shape?

• trapezoid

• parallelogram

• rhombus

• rectangle

• square