2025 TKSS PRELIMS P1 Q8

2025 TKSS PRELIMS P1 Q8

Secondary 4
7 marks
2025 Tanjong Katong Secondary School Prelims A Math Paper 1

The equations of the lines \(AB\), \(BC\) and \(CA\) are \(x-y=0\), \(x+3y=20\) and \(5x-y=4\) respectively. The coordinates of \(C\) are \((2,6)\).

  1. Find the coordinates of \(A\) and of \(B\).[3]
  2. Given that \(ABCD\) is a parallelogram, find the coordinates of \(D\).[2]
  3. Find the area of the parallelogram \(ABCD\).[2]

Solution:

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Answer:(a) \(A=(1,1),\ B=(5,5)\) (b) \(D=(-2,2)\) (c) \(16\text{ units}^2\)

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