Two lines are parallel if they are straight lines that are always the same (non-zero) distance apart.

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

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

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

Vertical angles are pairs of opposite angles formed when two lines intersect at a point. They are equal.

Angles on parallel lines traversed by a straight line

Maths

Checking understanding of angles from KS2

Securing understanding of angles from KS2

Formalising understanding of triangles from KS2

Formal angle notation

Corresponding angles

Alternate angles

Co-interior angles

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

Two lines are parallel if they are straight lines that are always the same (non-zero) {{ }} apart.

For the two lines crossing the transversal to be parallel, if $$c=100°$$ then $$g=$${{ }}°.

$$x° = 126°$$ as the angles are equal interior alternate angles

$$x° = 126°$$ as the angles are equal exterior alternate angles

$$x° = 126°$$ as the angles are equal corresponding angles

Which statement about the diagram is correct?

Which single additional parallel line is needed on the diagram to enable you to find the value of $$x$$?

Which of the following statements are true?

Using this diagram, you know that the angles are supplementary so $$a$$ is {{ }}°.

Which of these pairs of angles are equal corresponding angles?

∠{{ }} is marked with the letter $$a$$.

Which of the following are always true statements about the angles marked $$x$$ and $$y$$?

$$3x+14=7x-46$$ as the angles are equal {{ }} angles.

Angles on parallel lines traversed by a straight line

Lesson outcome