2025 SST PRELIMS P2 Q5

2025 SST PRELIMS P2 Q5

Secondary 4
5 marks
2025 School of Science and Technology Prelims A Math Paper 2

The diagram shows a circle passing through the vertices of a triangle \(ABC\). Points \(D\) and \(E\) are the midpoints of \(AB\) and \(AC\) respectively. The tangent to the circle at \(C\) meets \(DE\) extended at the point \(T\). Prove that points \(A\), \(D\), \(C\) and \(T\) lie on a circle.[5]

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Answer:\(\angle ADT=\angle ABC=\angle ACT\), so \(A,D,C,T\) are concyclic.

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