Mathematics 0580 · IGCSE · Similarity

Similarity — practice question

Triangles $ABC$ and $DEF$ are similar. For triangle $ABC$, $AB = 8\,\text{cm}$, $BC = 10\,\text{cm}$ and $AC = y\,\text{cm}$. For triangle $DEF$, $DE = 6\,\text{cm}$, $EF = x\,\text{cm}$ and $DF = 9\,\text{cm}$. The diagrams are labelled NOT TO SCALE.
(a)[2]

Calculate the value of $x$.

(b)[2]

Calculate 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: Correct method: multiply by $\frac{6}{8}$

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