Mathematics 4024 · O Level · Similarity

Similarity — practice question

Angles in polygons together with similar triangles.
(a(i))[2]

The diagram shows part of an $n$-sided regular polygon where $\angle DCF = \angle EFC = 24^{\circ}$. Find the value of $n$.

(a(ii))[2]

Find the value of $\angle HFG$.

(b(i))[3]

Show that triangle $PQS$ is similar to triangle $TQX$. Give a reason for every statement you make.

(b(ii))[1]

Find the ratio of $SX$ to $SQ$.

(b(iii))[2]

Find the ratio area of triangle $TQX$ : area of parallelogram $PQRS$.

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