Mathematics 0580 · IGCSE · Similarity

Similarity — practice question

The figure displays two triangles, $ABC$ and $PQR$, that are similar. In triangle $ABC$, $AB = 10$ cm, $BC = 6$ cm and $AC = x$ cm. In triangle $PQR$, $PQ = 6.25$ cm, $PR = 7.5$ cm and $QR = y$ cm. The figure is labelled NOT TO SCALE.
(a)[2]

Work out the value of $x$.

(b)[2]

Work out the value of $y$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “So, $\frac{x}{7.5} = \frac{10}{6.25}$” …

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