Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

The diagram illustrates the lines $AB$ and $BC$.
(a)[1]

Point $D$ lies 11 cm from $A$ and 9 cm from $C$. Use the diagram to construct quadrilateral $ABCD$.

(b(i))[1]

Using the diagram, construct the locus of points inside quadrilateral $ABCD$ that are the same distance from $B$ as from $C$.

(b(ii))[1]

From the diagram, construct the locus of points inside quadrilateral $ABCD$ that are equally distant from $AB$ and $BC$.

(c)[1]

The two loci intersect at $P$. Mark $P$ on the diagram and measure $DP$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Valid $D$ and quadrilateral $ABCD$

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