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!

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.

Classifying Quadrilaterals

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

Multiple Select

Choose the 2 parallelograms.

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.

Rhombus

• A rhombus is a parallelogram with four equal sides.

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

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

Multiple Select

Choose the squares.

Trapezoid

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

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

Multiple Select

Select ALL the Trapezoids

Multiple Choice

The figures below are sorted into two groups.

Which statement about the two groups of figures is NOT true?

• Each figure in Set A has no vertices.

• Each figure in Set B has four vertices.

• Each figure in Set B has four straight edges.

• Each figure in Set A is a polygon.

Multiple Choice

 A puzzle has 6 pieces in it as shown below. What is true about the figure?

• The shape has one triangle, one rectangle, two trapezoids, and one pentagon. 

• The shape has two triangles, one rectangle, one trapezoid, and two pentagons.

• The shape has two triangles, one rectangle, two trapezoids, and one pentagon.

• The shape has two triangles, two rectangles, two trapezoids, and one pentagon.

Multiple Choice

Pari sorted figures into groups based on their attributes. Some of the figures belong in more than one of the groups. Which statement about parallelograms is true based on the table?

• A parallelogram would belong in groups 1, 2, and 4.

• A parallelogram would belong in groups 1, 3, and 4.

• A parallelogram would belong in all four of the groups.

• A parallelogram would not belong in any of the groups.

Multiple Choice

Thomas sorted the figures shown into two groups.

What terms could Thomas use to describe his two groups?

• Rectangles and hexagons

• Pentagons and hexagons

• Quadrilaterals and pentagons

• Quadrilaterals and rectangles