2025 SST PRELIMS P1 Q13

2025 SST PRELIMS P1 Q13

Secondary 4
10 marks
2025 School of Science and Technology Prelims A Math Paper 1

The diagram, which is not drawn to scale, shows a rhombus \(ABCD\) in which the point \(A\) is \((0, 6)\) and point \(B\) is \((6, 24)\). The point \(D\) lies on the \(x\)-axis.

  1. Find the coordinates of \(D\).[3]
  2. Find the coordinates of \(C\).[4]
  3. Find the ratio of the area of triangle \(AOD\) to the area of rhombus \(ABCD\).[3]

Solution:

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Answer:(i) \(D=(18,0)\) (ii) \(C=(24,18)\) (iii) \(3:20\)

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