Types of Quadrilaterals

Types of Quadrilaterals

What is a quadrilateral?

• A quadrilateral is a two-dimensional shape with four sides and four angles.

• Some quadrilaterals have special names, such as trapezoid, parallelogram, rectangle, rhombus, and square.

• You can use the properties of quadrilaterals to name them. Let's find out how!

What names can be used to classify this figure?

• Quadrilateral

• Polygon

Trapezoid

• A trapezoid is a quadrilateral with exactly one pair of parallel sides.

• In the United Kingdom, this shape is called a trapezium.

What names can be used to classify this shape?

• Trapezoid

• polygon

• quadrilateral

Multiple Select

Choose the trapezoid.

What names can be used to classify this shape?

• Rectangle

• parallelogram

• polygon

• square

• quadrilateral

Classifying Quadrilaterals

• A rectangle is a parallelogram with four right angles.

• A square is considered to be a rectangle because it is a parallelogram and has 4 right angles.

Multiple Select

Choose the two rectangles.

Classifying Quadrilaterals

• A parallelogram is a quadrilateral with two pairs of parallel sides.

What names can be used to classify this shape?

• Parallelogram

• Quadrilateral

• Polygon

Multiple Select

Choose the 2 parallelograms.

Rhombus

• A rhombus is a parallelogram with four equal sides.

• A Square is considered to be a rhombus because it has 4 equal sides

What names can be used to classify this figure?

• Rhombus

• Parallelogram

• Square

• Quadrilateral

• Polygon

Multiple Select

Choose the two rhombuses.

Square

• A square is a parallelogram with four equal sides and four right angles.

• A Square is considered a rectangle and a rhombus

What names can be used to classify this figure?

• Diamond

• Rhombus

• Square

• Rectangle

• Quadrilateral

• Polygon

What names can be used to classify this figure?

• Square

• Rhombus

• Parallelogram

• Rectangle

• Quadrilateral

• Polygon

Multiple Select

Choose the squares.

Fun Fact!

Not everyone agrees on the definition of a 

trapezoid! 

Some people say that a trapezoid 

has at least one pair of parallel sides instead 

of exactly one pair of parallel sides. 

According to that definition, a parallelogram 

would be a type of trapezoid.

One Shape, Many Names

• You can use more than one name to describe the same quadrilateral. A square, for example, is also a rhombus, a rectangle, and a parallelogram!

• Use this chart to understand how different quadrilaterals relate to each other.