Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

The diagram indicates where point $A$ is positioned.
(a(i))[3]

Find and label the positions of $B$ and $C$.

(a(ii))[1]

Find the position of $D$ and label it.

(a(iii))[1]

Measure the length of $AD$.

(a(iv))[2]

Using measurements, determine the ratio $CD:DB$. Write your answer in the form $1:n$.

(a(v))[1]

Triangle $ADB$ has area $w\text{ cm}^2$. Giving your answer in terms of $w$, find the area of triangle $ADC$.

(b)[4]

Construct and shade the region in triangle $AEF$ that is less than $6\text{ cm}$ from $E$, lies closer to $AF$ than to $AE$, and is closer to $A$ than to $F$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Both $B$ and $C$ are placed correctly

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