AI generatedGeometry and measuresKey Stage 3

Giving reasons in an angle proof

Giving reasons in an angle proof.

  • Give a mathematical reason for each step.
  • Use matching angles and corresponding sides, not the appearance of a diagram.
  • State the result you have proved at the end.

Example 1

The marked lines are parallel. Find and , giving a reason for each.

Parallel lines cut by a transversal35°xy
Corresponding angles are equal.Vertically opposite angles are equal.

Example 2

The marked lines are parallel. Find and , giving a reason for each.

Parallel lines cut by a transversal36°xy
Corresponding angles are equal.Vertically opposite angles are equal.

Your turn

Question 1

The marked lines are parallel. Find and , giving a reason for each.

Parallel lines cut by a transversal37°xy
Check answer
Corresponding angles are equal.Vertically opposite angles are equal.
Question 2

The marked lines are parallel. Find and , giving a reason for each.

Parallel lines cut by a transversal38°xy
Check answer
Corresponding angles are equal.Vertically opposite angles are equal.
Question 3

The marked lines are parallel. Find and , giving a reason for each.

Parallel lines cut by a transversal39°xy
Check answer
Corresponding angles are equal.Vertically opposite angles are equal.
Question 4

The marked lines are parallel. Find and , giving a reason for each.

Parallel lines cut by a transversal40°xy
Check answer
Corresponding angles are equal.Vertically opposite angles are equal.
Question 5

The marked lines are parallel. Find and , giving a reason for each.

Parallel lines cut by a transversal41°xy
Check answer
Corresponding angles are equal.Vertically opposite angles are equal.
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