Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

The diagram presents quadrilateral $ABCD$.
(a)[1]

Determine $\angle DCB$.

(b(i))[1]

Construct the locus of points, inside the quadrilateral, that are $8$ cm from $B$.

(b(ii))[1]

Construct the locus of points, inside the quadrilateral, that are $5$ cm from $AB$.

(b(iii))[1]

The two loci intersect at $P$. Mark the point $P$ on the diagram and label it, then measure $PD$.

Worked solution & mark scheme

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