A pair of angles both between or both outside two line segments that are on opposite sides of the transversal that cuts them.

Alternate angles

Maths

Checking understanding of angles from KS2

Securing understanding of angles from KS2

Formalising understanding of triangles from KS2

Formal angle notation

Corresponding angles

Co-interior angles

Angles on parallel lines traversed by a straight line

The sum of the interior angles of any triangle

Using the sum of the interior angles of a triangle

Interior angles of a polygon

Deriving the sum of interior angles in multiple ways

Exterior angles of polygons

Interior and exterior angles of regular polygons

Missing angles

Problem solving with polygons

This unit gives pupils the opportunity to explore polygons and begin to generalise their understanding of interior/exterior angles in regular polygons. In the future unit, pupils will use the geometrical properties of a rhombus to perform various constructions

In this unit, pupils learnt how to calculate with angles at a point and angles on a straight line. In this unit, pupils extend their knowledge about angles in lines

In this unit pupils will investigate internal and external angles of polygons and angles made with a transveral and parallel lines. Pupils will develop their ability to formally prove properties of polygons to generalise.

Geometrical properties: polygons

Alternate angles are a pair of angles both between or both outside two line segments that are on {{ }} sides of the transversal that cuts them.

Which of these diagrams show a pair of alternate angles?

This diagram shows a pair of equal {{ }} alternate angles.

Because it is an interior alternate angle with the given angle.

Because it is an exterior alternate angle with the given angle.

Because it is an equal interior alternate angle with the given angle.

Because it is an equal exterior alternate angle with the given angle.

Select the correct justification for the statement. The angle marked $$m$$ is 118°.

If alternate angles are equal, then the two lines are __________.

Use this diagram to match each angle to an equal alternate angle.

The size of the angle marked $$a$$ is {{ }}°. 

The value of the angle marked $$x$$ is {{ }}°.

Which pair of line segments are parallel to each other in this diagram?

A transversal is any line that {{ }} two or more lines at distinct (different) points. 

Which of the following show a pair of corresponding angles?

Alternate angles

Lesson outcome