If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.

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

Two congruent triangles can be arranged to compose a parallelogram

Maths

In this unit pupils will use knowledge of shape properties to draw, sketch and identify shapes  In the future unit pupils will explain how to calculate the area of a parallelogram and a triangle and describe the relationship between scale factors and side lengths of two shapesThey will describe positions in all four quadrants drawing and translating simple shapes and reflecting them in the axes

In the prior unit pupils compared the size of angles with a clear visual difference and use the terms acute obtuse and reflex when describing the size of angles or amount of rotation with relation to right angles using a unit called degrees In this unit pupils will use knowledge of shape properties to draw, sketch and identify shapes

Draw, compose and decompose shapes

If two shapes are congruent, what does this mean?

They could be the same shape but rotated. 

They could be the same shape but reflected. 

They must be identical in every way including their position.

Which of these statements could be true of two congruent shapes?

A triangle can be composed from two parallelograms.

A parallelogram can be composed from two congruent triangles.

A parallelogram can be decomposed into two congruent triangles.

This parallelogram has been decomposed into two congruent triangles. What type of triangle is each part?

Which of these quadrilaterals cannot be decomposed into two congruent triangles?

Which of these are properties of all triangles? 

Match the triangle with the correct property.

Which of these polygons is also classified as a parallelogram?

Which of these statements apply to all parallelograms?

Shape a is a parallelogram but Shape b is not.

Which of these statements is true about these shapes?

The area of a is greater than the area of b.

The area of b is greater than the area of a.

The two compound shapes have been composed of identical smaller shapes. Which of these statements is true?

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

Two congruent triangles can be arranged to compose a parallelogram

Lesson outcome

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