2023 CSS AM S3 EOY Q12
2023 CSS AM S3 EOY Q12
Secondary 3
10 marks
The diagram shows a rhombus with vertices \(A(0, 5)\), \(B(m, 11)\), \(C(14, 19)\) and \(D\).
A rhombus ABCD on a Cartesian plane with vertex A on the y-axis.
- Find the equation of the perpendicular bisector of \(AC\).[4]
- Show that \(m = 8\).[2]
- Find the coordinates of \(D\).[2]
- Find the area of the rhombus.[2]
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Answer:(a) \(y=-x+19\) (b) \(m=8\) (c) \(D=(6,13)\) (d) \(28\text{ units}^2\)
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