Angles in quadrilaterals

Maths

In this unit pupils will compare the size of angles where there is 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 the future unit pupils will use knowledge of shape properties to draw, sketch and identify shapes.

In the prior unit pupils completed and composed symmetrical shapes from two congruent shapes and investigate lines of symmetry in 2D shapes. In this unit pupils will compare the size of angles where there is 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.

Angles: compare, name, estimate and measure angles

This is a quadrilateral. The angles of the vertices sum to {{ }}°

All rectangles have four vertices and each vertex is equal to {{ }}°

What is the missing value in this bar model? {{ }}°

The image is not to scale. What is the value of missing angle a? a = {{ }}°

Which of the angles shown is an obtuse angle?

Complete the sentence. {{ }}° is needed to complete the angles about a point.

The quadrilateral has four acute angles. 

The quadrilateral has four obtuse angles.

The quadrilateral has two acute angles and two obtuse angles. 

The quadrilateral has two right angles and two acute angles.

This is a quadrilateral. Look carefully at the vertices and the angles inside the shape. Which statement is correct?

The quadrilateral has three acute angles and one reflex angle. 

The quadrilateral has two acute angles, one obtuse angle and one reflex angle.

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

Angles in quadrilaterals

Lesson outcome

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