Higher June 2017 Paper 1 Q21

EdexcelCurrent spec4 marksSimilar Shapes

21 \(ABCD\) is a quadrilateral.

\(AB = CD\).
Angle \(ABC\) = angle \(BCD\).

Prove that \(AC = BD\). (4)

Mark scheme

Answer	Mark	Notes
	C1	states (angle) \(ABC\) = (angle) \(BCD\)
	C1	states 2^nd link \(AB = CD\)
	C1	states 3^rd link with reason: \(BC = BC\) (common)
	C1	concludes proof by stating (triangle) \(ABC \equiv\) (triangle) \(DCB\) with reason SAS and \(AC = BD\)