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

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

Alternate angles are 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.

Checking and securing understanding of advanced angle facts

Maths

Checking and securing understanding on chains of reasoning with angle facts

Checking and securing understanding of polygons

Checking and securing understanding of interior angles

Forming equations with angles

Problem solving with angles

In this unit, pupils applied their understanding of angles to solve increasingly complex problems. In the future unit, pupils will use their mathematical reasoning to derive and use various circle theorems. 

In the prior unit, pupils learnt how to identify corresponding, alternate and co-interior angles. In this unit, pupils use their knowledge of these angles to reason through and solve more complicated problems.

In this unit pupils use their knowledge of corresponding, alternate and co-interior angles to reason through and solve more complicated problems.

Angles

The angle that is corresponding with angle $$c$$ is angle {{}}.

The angle that is alternate with angle $$c$$ is angle {{}}.

The angle that is co-interior with angle $$c$$ is angle {{}}.

The angle that is vertically opposite angle $$c$$ is angle {{}}.

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

A __________ is a line, line segment, or ray that intersects through two or more lines at distinct (different) points.

In which image(s) is the protractor in a correct position to measure the marked angle?

The size of ∠AED is 105°. Therefore the size of the acute angle ∠DEC is {{}}°.

The size of ∠AED is 105°. Therefore the size of the reflex angle ∠DEA is {{}}°.

The size of ∠AED is 105°. Therefore the size of the obtuse angle ∠CEB is {{}}°.

Checking and securing understanding of advanced angle facts

Lesson outcome