2025 AHS PRELIMS P1 Q23

2025 AHS PRELIMS P1 Q23

Secondary 4
4 marks

The drawing in the answer space below shows three tents, \(A\), \(B\) and \(C\) pitched at East Coast Park.

  1. Construct
    1. the perpendicular bisector of \(AB\),[1]
    2. the bisector of angle \(ABC\).[1]
  2. A fast-food restaurant, \(M\), is located equidistant from \(A\) and \(B\) as well as equidistant from \(BC\) and \(AB\). Mark and label \(M\).[1]
  3. The toilet, \(T\), is located equidistant from the 3 tents. Mark and label \(T\).[1]

Solution:

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Answer:Required constructions, with \(M\) at the two loci's intersection and \(T\) at the circumcentre

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