Mathematics 4024 · O Level · Right-angled triangles

Right-angled triangles — practice question

The diagram depicts an isosceles triangle $ABC$ with $AB = AC$. Point $D$ lies on $AC$ so that angle $ADB = 90^\circ$. Point $E$ lies on $AB$ so that angle $AEC = 90^\circ$.
(main)[3]

Prove that triangles $ADB$ and $AEC$ are congruent. State a reason for each step you give.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\angle A$ is a shared angle

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