Angles (Including Parallel Lines): WJEC GCSE Higher June 2025 Unit 1 Q12

Higher June 2025 Unit 1 Q12

12. Triangle A and Triangle B are shown below.

Diagrams not drawn to scale

Which one of the following statements is correct?
Circle the correct answer.

The triangles must
be congruent

The triangles could
be congruent

The triangles cannot
be congruent

You must show your working and justify your answer. [2]

Mark scheme

Scheme	Marks	Comments
Missing angle(s) is/are 42° OR 63° or stated in later reasoning AND ‘The triangles could be congruent’ circled.	B1	Check diagrams Working space takes precedence. If two angles are given, they must both be correct.
Valid explanation e.g. having equal angles alone is not a sufficient condition for congruence the (corresponding) side lengths could be different / same (even though the angles are equal).	E1	Dependent on B1. Accept equivalent statements, e.g. the triangles are similar (but not necessarily congruent) if (a pair of corresponding) side lengths were known, we could apply ASA to test for congruency. Do not allow ‘They have the same angles’ (as need to mention sides). If angle(s) calculated, but no statement identified, award B1E1 for a full alternative explanation e.g. the triangles are similar but not necessarily congruent.