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2026 NORTHBROOKS P2 Q5
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2026 NORTHBROOKS P2 Q5
Secondary 4
9 marks
In the diagram, angle \(ABE=\) angle \(ADC\).
\(AB=6\text{ cm}\), \(AE=8\text{ cm}\) and \(ED=4\text{ cm}\).
Show that triangles \(ABE\) and \(ADC\) are geometrically similar.
[2]
Calculate \(BC\).
[2]
Find the ratio of area of quadrilateral \(BCDE\) : area of triangle \(ACD\).
[1]
The diagram shows a regular pentagon \(A\), a square \(B\) and two sides of a regular polygon \(C\).
Find the number of sides of regular polygon \(C\).
[4]
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Answer:
(a)(i) AA similarity. (ii) \(10\text{ cm}\). (iii) \(3:4\). (b) 20 sides.
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