Mathematics 0580 · IGCSE · Right-angled triangles

Right-angled triangles — practice question

In triangle ABC, $AC = AB$. Point D lies on BC so that AD is perpendicular to BC. The diagram marks a right angle at D. NOT TO SCALE.
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Fill in the statements below to demonstrate that triangle ACD and triangle ABD are congruent.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correctly name $\angle ADC$ and $\angle ADB$, and give $90^{\circ}$.

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