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

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

Co-interior angles are on the same side of the transversal line and in between the two other lines.

An interior angle is an angle formed inside a polygon by two of its edges.

An exterior angle is an angle on the outside of a polygon between an extension of an edge and its adjacent edge.

Problem solving with polygons

Maths

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

Geometrical properties: polygons

Angles on the same side of the transversal line and in between the two other lines are called {{}} angles.

Which algebraic statement correctly expresses $$y$$ in terms of $$x$$?

The size of the angle marked in the diagram is {{}}°.

Match each pair of angles with the keywords that describe the relationship between them.

A dodecagon has 12 sides. Find the sum of the interior angles in a dodecagon.

Exterior angles for any polygon sum to {{}}°.

Each exterior angle for a regular hexagon is {{}}°.

Each interior angle in a regular octagon is {{}}°.

The pentagon and hexagon in the diagram are both regular. The angle marked in the diagram is {{}}°.

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

Problem solving with polygons

Lesson outcome

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