Corresponding angles are a pair of angles at different vertices on the same side of a transversal in equivalent positions.

A transversal is any line that intersects two or more lines at distinct (different) points (line, line segment or ray).

Corresponding angles

Maths

Checking understanding of angles from KS2

Securing understanding of angles from KS2

Formalising understanding of triangles from KS2

Formal angle notation

Alternate 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

It must be a ray, as it can only extend infinitely in one direction.

It means to travel or lie across multiple things.

It is a line that lies across a group of other lines.

It means to intersect at a corresponding angle.

Which of these statements is true for a transversal?

Which of these line segments is a transversal?

Which angle is corresponding to angle $$\theta$$°?

The transversal intersects two perpendicular line segments.

The transversal intersects two parallel line segments.

Angle $$x$$° = 66° because $$x$$° is parallel to 66°.

Angle $$x$$° = 66° because $$x$$° is corresponding to 66°.

Angle $$x$$° = 66° because $$x$$° is vertically opposite 66°.

Which of these statements are correct for this diagram?

What is the size of angle $$x$$, in degrees?

Which angles are corresponding to $$\theta$$°?

TU is a straight line segment. Find the size of angle $$a$$, in degrees.

angles about a point on a straight line sum to 180°

This diagram shows two intersecting line segments. Match each angle or justification for the size of angles $$b$$° and $$c$$° to the correct value or statement.

is not parallel to any other line segment in this diagram

Match the line segment to the correct description that completes each sentence.

AB, CD, and EF are all straight line segments. By first calculating the size of angles $$j$$° and $$k$$°, find the value of $$(j+k)$$°. 

a longer line segment with a gradient of $$-\frac{1}{3}$$

a shorter line segment with a gradient of $$-\frac{1}{3}$$

Match each line segment to its correct description.

Corresponding angles

Lesson outcome