Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

$ABCD$ forms a parallelogram. $AD = 6\text{ cm}$, $AB = 8\text{ cm}$ and $BD = 11\text{ cm}$.
(a(i))[3]

Using only a ruler and compasses, construct an accurate diagram of $ABCD$. $AD$ has already been drawn for you.

(a(ii))[1]

Measure $\angle DAB$.

(a(iii))[1]

Let $E$ be the point on $BD$ for which $AE$ gives the shortest distance from $A$ to $BD$. Draw and measure $AE$.

(b(i))[2]

Calculate $PS$.

(b(ii))[4]

Calculate the obtuse angle $\angle SRQ$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurately constructed parallelogram

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