Make shapes by joining two polygons in different ways | Maths

Starter quiz

A __________ is a 2D shape made up of three or more straight lines.

polygon ✓

quadrilateral
Which of these statements are true for all quadrilaterals?

They have 4 straight sides. ✓

They have a line of symmetry.

They have two sides the same length.

They have 4 vertices ✓
Which of these shapes are quadrilaterals?

a ✓

b

c

d ✓
Which of these describe the properties of all triangles?

3 straight sides ✓

1 right angle

3 vertices ✓

2 sides the same length
Which of these shapes are triangles?

a ✓

b

c

d ✓
Match the description to the type of shape.

rectangle

⇔

A four-sided shape with 4 right angles. ✓

quadrilateral

⇔

Any four-sided shape. ✓

square

⇔

A four-sided shape with 4 right angles and 4 equal sides. ✓

Exit quiz

Two triangles have been joined to make new polygons. Which new shape is not a quadrilateral?

a

b ✓

c

d
Complete the sentence. Lines are parallel when __________

they get closer together.

they get further apart.

they are always the same distance apart. ✓
A rectangle is a quadrilateral. What are the properties of a rectangle?

Four equal sides.

Two pairs of equal sides. ✓

Four right angles. ✓

Two pairs of parallel sides. ✓

Only one pair of parallel sides.
Look carefully at this polygon. Which statements are true?

It has two pairs of parallel sides. ✓

It is a quadrilateral. ✓

It has four right angles.

It has five sides.
True or false. These shapes are all rectangles.

True
False ✓
Which of these quadrilaterals does not have any parallel sides?

a

b ✓

c

d

Worksheet

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Lesson Details

Key learning points

The same parts can create a different whole.
Lines are parallel because they are always the same distance apart.
A quadrilateral with two pairs of parallel sides is called a parallelogram.

Common misconception

Pupils do not recognise the new shape and only identify the smaller shapes it is composed of.

Using plastic shapes to compose a new shape and drawing around the shape can support pupils to see the properties of the new shape. Drawing around removes the joined sides inside the new polygon.

Keywords

Polygon - A 2D shape made up of three or more straight lines.
Quadrilateral - Polygons with four straight sides and four vertices.