Angles (Including Parallel Lines): WJEC GCSE Higher June 2019 Unit 1 Q12

Higher June 2019 Unit 1 Q12

12. In the following diagram, \(AE\) and \(BD\) are straight lines and \(BC = CE\).

Is it possible to conclude that triangles \(ABC\) and \(DEC\) are congruent?
You must show all your working and explain your decision. [2]

Diagram not drawn to scale

Mark scheme

Scheme	Marks	Comments
Values given for any two missing angles.	B1	(Check diagrams) Missing angle(s) is/are 32° or 83° and 65° If all three angles are given, they must all be correct.
Explanation that the triangles are congruent due to angle, side, angle or ASA or equivalent.	E1	Or equivalent. No FT from incorrect angles. Dependent on at least one correct angle found.