A straight line connecting one vertex to another, but is not the side or edge.

Investigate the shapes made when rectangles are cut on the diagonal

Maths

In this unit pupils will rotate two lines around a fixed point to make different sized angles. They will identify vertices. In the future unit pupils will investigate ways to compose and decompose polygons. They will investigate quadrilaterals with and without parallel and perpendicular sides.

In the prior unit pupils ordered and arranged combinations of objects in patterns and sequences. They consolidated understanding of whole, half, quarter and three-quarter turns, in terms of right angles, using mathematical vocabulary to describe position, direction and movement. In this unit pupils will rotate 2 lines around a fixed point to make different sized angles. They will identify vertices

Right angles

Aisha cuts this rectangle in half using a vertical line. 
What shape will both halves be?

Aisha cuts this rectangle in half using a diagonal line. 
What shapes will both halves be? 

Both triangles have two sides of equal length. 

Aisha cuts this square into two triangles using one diagonal line. 
Which of these statements is true?

Laura uses two diagonal lines, cutting from each vertex at the top of the square to each at the bottom. 
How many triangles would the rectangle be cut up into?

Aisha cuts a rectangle into four triangles. This is one of the triangles. How many angles inside the shape are smaller than a right angle? 

…each triangle will have at least two sides the same length. 

 …you always end up with four triangles.

…all of the triangles will have right angles.

Which statements are always true? 
When you make two diagonal cuts through any rectangle…

It does not have any sides of equal length. 

A four-sided polygon with 4 right angles. 

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

Match the description to the type of shape. 

Look at this pattern. How many rectangles are there altogether?

This lesson will be removed by end of Summer Term 2025.

Investigate the shapes made when rectangles are cut on the diagonal

Lesson outcome

This lesson will be removed by end of Summer Term 2025.