Lesson on Quadrilaterals

BD 24 Quadrilaterals Lesson

By Chris Albrecht

Main Idea

Quadrilaterals

A quadrilateral is a plane figure with 4 sides and 4 angles. There are many different kinds of quadrilaterals, some of which are shown in the chart below. You can classify and sort quadrilaterals into different groups.​

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Trapezoid

A trapezoid is a quadrilateral with one or more pairs of parallel sides

Subject | Subject

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Multiple Select

Select all the rules for a trapezoid

• 4 right angles

• 4 congruent sides

• opposite sides are equal

• 2 pairs of parallel sides

• One or more pairs of parallel sides

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. Opposite sides of a parallelogram have the same length.​

Parallelogram

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Multiple Select

Select all the rules for a parallelogram

• 4 right angles

• 4 congruent sides

• opposite sides are equal

• 2 pairs of parallel sides

Rhombus

A rhombus is a parallelogram with four sides that have the same length.

Subject | Subject

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Multiple Select

Select all the rules for a rhombus

• 4 right angles

• 4 congruent sides

• opposite sides are equal

• 2 pairs of parallel sides

Rectangle

A rectangle is a parallelogram with opposite sides that are equal and four right angles.

Subject | Subject

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Multiple Select

Select all the rules for a rectangle

• 4 right angles

• 4 congruent sides

• opposite sides are equal

• 2 pairs of parallel sides

Square

A square is a rectangle with four sides with the same length and four right angles.

Subject | Subject

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Multiple Select

Select all the rules for a square

• 4 right angles

• 4 congruent sides

• opposite sides are equal

• 2 pairs of parallel sides

Kite

A kite is a quadrilateral with two different pairs of connected sides that have the same length.​ One pair of opposite angles are equal. Two sets of adjacent sides are equal.

Subject | Subject

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Multiple Select

Select all the rules for a kite

• 4 right angles

• 4 congruent sides

• opposite sides are equal

• 2 pairs of parallel sides

• One pair of opposite angles are equal

Identify Quadrilaterals​

To help identify quadrilateral use the properties of each quadrilateral. Remember many quadrilaterals share properties.

Subject | Subject

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Multiple Choice

What is the most specific classification of the quadrilateral?

• Rhombus

• square

• rectangle

• trapezoid

Multiple Choice

What is the most specific classification of the quadrilateral?

• Rhombus

• parallelogram

• rectangle

• square

Multiple Choice

What is the most specific classification of the quadrilateral?

• trapezoid

• rhombus

• parallelogram

• square

Multiple Choice

What is the most specific classification of the quadrilateral?

• rhombus

• square

• parallelogram

• rectanlge

Draw the shape

If you do not remember all the rules of a quadrilateral try drawing the shape. Then see what rules work for that shape. Check the angles, for parallel sides, and sides of the same length.

Subject | Subject

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Multiple Select

Select all the properties of a square

• all sides are equal

• opposite sides are equal

• all angles are right angles

• 2 pairs of parallel sides

• it has no right angles

Multiple Select

Select all the properties of a rhombus

• all sides are equal

• opposite sides are equal

• all angles are right angles

• 2 pairs of parallel sides

Multiple Select

Select all the properties of a parallelogram

• all sides are equal

• opposite sides are equal

• all angles are right angles

• 2 pairs of parallel sides

Multiple Select

Select all the properties of a rectangle

• all sides are equal

• opposite sides are equal

• all angles are right angles

• 2 pairs of parallel sides

​Some shapes can be classified in multiple ways because it fits the properties of each shape. For example a rhombus has to have four equal sides. A square has to have 4 equal sides and 4 right angles. So a square has to be a rhombus but a rhombus does not have to be a square.

Subject | Subject

Multiple Select

Select all the options this shape can be classified as

• trapezoid

• square

• rhombus

• parallelogram

• rectangle

Multiple Select

Select all the options this shape can be classified as

• triangle

• trapezoid

• rhombus

• rectangle

• parallelogram

Multiple Select

Select all the options this shape can be classified as

• rhombus

• parallelogram

• rectangle

• trapezoid

• kite

Multiple Choice

What is the most specific classification of the quadrilateral?

• Rhombus

• square

• kite

• trapezoid

Multiple Select

Select all the properties of a rectangle

• all sides are equal

• opposite sides are equal

• all angles are right angles

• 2 pairs of parallel sides

• it has no right angles

Multiple Select

Select all the shapes that have to have 4 right angles

• Rhombus

• Rectangle

• Square

• Parallelogram

• Trapezoid

Multiple Select

Select all the shapes that have to have 2 pairs of parallel sides

• Rhombus

• Rectangle

• Square

• Parallelogram

• Trapezoid