Mathematics 0580 · IGCSE · Similarity

Similarity — practice question

In the diagram, $AB$ runs parallel to $CD$. $AD$ and $BC$ cross at $X$. $AB = 6\text{ cm}$, $CD = 12\text{ cm}$, $CX = 8\text{ cm}$ and $DX = 7\text{ cm}$.
(a)[1]

Fill in the blank. Triangle $ABX$ is [BLANK] to triangle $DCX$.

(b)[2]

Find the length of $BX$.

(c(i))[2]

Use this value to determine the area of triangle $ABX$.

(c(ii))[1]

Use this value to determine the area of triangle $ACX$.

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