Question 2 — IGCSE 0580 March 2024 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Geometry · Angles using geometrical properties. Worth 8 marks.
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Question text
2
X
D
A
x°
NOT TO
y°
SCALE
C
B
A, B, C and D are points on a circle.
ADX and BCX are straight lines.
Angle BAD = x° and angle DCX = y°.
(a) Explain why x = y.
Give a geometrical reason for each statement you make.
[2]
(b) Show that triangle ABX is similar to triangle CDX.
[2]
© UCLES 2024 0580/42/F/M/24
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(c) AD = 15 cm, DX = 9 cm and CX = 12 cm.
(i) Find BC.
BC = ........................................... cm [3]
(ii) Complete the statement.
The ratio area of triangle ABX : area of triangle CDX = .............. : 1. [1]
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