2025 GESS PRELIMS P1 Q8

Three points \(A\), \(B\) and \(C\) are shown below.

1. Construct the perpendicular bisector of \(BC\).[1]
2. Construct the bisector of angle \(ABC\).[1]
3. Mark clearly a possible point which is equidistant from \(B\) and \(C\), and is nearer to \(AB\) than to \(BC\). Label this point \(P\).[1]
4. The point \(N\) is such that angle \(BCN=85^\circ\) and \(AN=7\text{ cm}\). Find the two possible positions of \(N\) and label them \(N_1\) and \(N_2\).[2]