Angles (Including Parallel Lines): WJEC GCSE Higher November 2022 Unit 1 Q13

Higher November 2022 Unit 1 Q13

13. In the following diagram, the lines AC and BD bisect each other.

Diagram not drawn to scale

Prove that triangles ABE and CDE are congruent.
You must state the condition of congruence. [3]

Mark scheme

Scheme	Marks	Comments
AE = CE (Given) BE = DE (Given) Angle AEB = Angle CED (Vertically opposite angles)	B2	All 3 stated. ‘Notches’ or ‘arcs’ (or labelling) on the diagram are insufficient. B1 for 1 or 2 stated. Additional (correct or incorrect) statements may be ignored.
SAS (therefore triangle ABE and triangle CDE are congruent)	E1	FT provided at least B1 awarded. Allow an equivalent statement e.g. ‘two sides and the included angle’ (but not e.g. ‘two sides and an angle’).