2025 CGSS PRELIMS P1 Q7
2025 CGSS PRELIMS P1 Q7
Secondary 4
10 marks
Solutions to this question by accurate drawing will not be accepted.
The diagram above shows a triangle \(ABC\) with vertices \(B(8,0)\) and \(C(-6,-2)\).
\(AB\) is perpendicular to \(AC\) and is parallel to the line \(y=-2x\).
\(M\) and \(N\) are the mid-points of \(AB\) and \(BC\) respectively.
- Find the coordinates of \(A\).[6]
- Explain why the quadrilateral \(ACNM\) is a trapezium.[1]
- Find the area of the quadrilateral \(ACNM\).[3]
Solution:
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Answer:(a) \(A=(6,4)\) (b) \(AC\parallel MN\), so \(ACNM\) is a trapezium (c) \(\dfrac{45}{2}\text{ units}^2\)
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