O-LevelMathematicsGeometry4024/11 · May/June 2019 · Q194 Marks
The diagram shows triangle ABC. D is a point on AC such that angle BDC = angle ABC. [Figure of triangle ABC with point D on AC]
- (a)Explain why triangle BDC is similar to triangle ABC. Give a reason for each statement you make.[2]
- (b)AC = 10 cm, BC = 8 cm and BD = 6 cm. Calculate AB.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [2] Angle C is common Angle BDC = angle ABC (given) Hence similar B1 for the two correct pairings or one pair with reason
- [2] 7.5 oe M1 for AB/6 = 10/8 or AB/10 = 6/8 oe
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