Mathematics 4024 · O Level · Similarity

Similarity — practice question

The diagram displays two circles, each with centre $O$.
(a(i))[2]

Find $\angle G\hat{E}O$ in terms of $y$.

(a(ii))[2]

Find $\angle GCX$ in terms of $y$.

(a(iii))[2]

Find $\angle D\hat{A}B$ in terms of $y$.

(b)[1]

Triangle $EGC$ is congruent to triangle ………… . Complete the sentence.

(c)[2]

Prove that triangle $ADC$ is similar to triangle $OGC$.

(d)[1]

What special type of quadrilateral does $AOGD$ make?

(e(i))[1]

Find the ratio area of triangle $OGC$ : area of triangle $ADC$.

(e(ii))[1]

Find the ratio area of triangle $OGC$ : area of quadrilateral $ABCD$.

Worked solution & mark scheme

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