Mathematics 0580 · IGCSE · Similarity

Similarity — practice question

Within the diagram, $AB$ and $CD$ run parallel to each other. $AD$ and $BC$ meet at $X$. $AB = 8\text{ cm}$, $CD = 4\text{ cm}$, $CX = 2\text{ cm}$ and $DX = 2.8\text{ cm}$. The figure is labelled NOT TO SCALE.
(a)[1]

Finish the statement. Triangle $ABX$ is ................................ to triangle $DCX$.

(b)[2]

Calculate the value of $AX$.

(c)[1]

Triangle $ABX$ has area $y\text{ cm}^2$. Express the area of triangle $DCX$ in terms of $y$.

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