Mathematics 4024 · O Level · Similarity

Similarity — practice question

In the diagram, rectangle $ABCD$ is shown. Point $E$ lies on the diagonal $AC$ so that $\angle DEC = 90^\circ$.
(main)[3]

Prove that triangle $ADC$ is similar to triangle $DEC$. Include a reason for every statement you make.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: The angle $\angle ACD$ is equal to $\angle DCE$ because it is the shared angle.

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