## Learning focus

This includes:

• a quiz
• a learning summary
• one video
• one activity

# Quiz

To get started, let's see how well you know this topic already. Take the quiz below to find out.

# Learn

You can classify shapes based on their properties.

Properties are qualities that a shape has. Examples of shape properties are:

• number of sides
• length of sides
• number of angles (corners)
• types of angle (acute, obtuse, right-angle)
• perpendicular and parallel lines

Watch the video below from KS2 Maths which is all about polygons. Polygons are 2D shapes with 3 or more straight sides.

All quadrilaterals are polygons, but there are other types of polygons too.

Quadrilaterals have 4 straight sides and 4 angles. These are the common properties.

Here are some examples of quadrilaterals and their properties:

## Square

Properties:

• all sides all of an equal length
• angles that are all right-angles (perpendicular lines)
• 2 pairs of parallel lines

## Rectangle

Properties:

• 2 sides longer than the others
• angles that are all right-angles
• 2 pairs of parallel lines

## Trapezium

Not all trapeziums look the same. This trapezium has:

Properties:

• 1 pair of parallel lines (all trapeziums have this)
• 2 sets of equal angles
• 2 lines equal length and 2 that aren’t
• 2 obtuse angles and 2 acute

## Parallelogram

Properties:

• 2 pairs of parallel lines
• 2 acute and 2 obtuse angles
• 2 pairs of sides that are equal length

## Rhombus

Properties:

• all sides equal length
• 2 pairs of parallel lines
• opposite angles are equal

As you can see, some quadrilaterals share more properties than four sides and four angles.

Look at this rhombus and square.

These two quadrilaterals also share 2 pairs of parallel lines and 4 equal lengths.

You can classify and compare shapes by using a Venn diagram.

Each shape has been placed in the section of the Venn diagram it belongs in.

Because the square doesn’t have any acute angles or a pair of parallel sides that are longer in length, then it stays outside of the Venn diagram.

You could also use a Carroll diagram to classify these shapes.

The shapes have been placed in the sections where they share two of the properties from the Carroll diagram.