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 line.

Checking and securing understanding on chains of reasoning with angle facts

Maths

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.

Angles

Alternate angles in parallel lines are equal.

Co-interior angles in parallel lines sum to 180°.

Corresponding angles in parallel lines are equal.

Which angle fact can be used to justify why $$x=120$$ using a single statement?

Which angle fact could be used to justify why $$x=120$$ using a single statement?

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

∠{{}} is 65°. Use three letter angle notation.

Which angle is corresponding with ∠DBC?

Which angle is vertically opposite with ∠DBC?

∠DBC = 89°. Which other angles in the image are also 89°?

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