2026 MSHS P1 Q12

2026 MSHS P1 Q12

Secondary 4
3 marks

The diagram below shows a triangle \(ABC\).

  1. Construct the perpendicular bisector of \(AC\).[1]
  2. Construct the bisector of angle \(BAC\).[1]
  3. A point \(D\) is to be plotted inside the triangle. It is closer to \(A\) than \(C\), and closer to side \(AB\) than \(AC\). Shade the region where \(D\) can be plotted.[1]

Solution:

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Answer:(a), (b) See the constructed bisectors. (c) The shaded intersection inside \(ABC\), excluding the bisector boundaries.

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