Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

For triangle $ABC$, the length of $AC$ is $10\text{ cm}$ and the length of $BC$ is $9\text{ cm}$.
(a)[2]

Using only a ruler and compasses, construct the triangle below. $AB$ has already been drawn for you.

(b)[2]

Using a straight edge and compasses only, construct the bisector of angle $ABC$. Extend the bisector until it reaches line $AC$ at $D$. Mark the point $D$ on your diagram.

(c)[1]

Measure the length of $BD$.

(d)[1]

Measure the bearing from $A$ to $C$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct lines \(AC\) and \(BC\) with the arcs drawn correctly” …

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