Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

Complete parts (a)(i) and (b)(i) of this question with a straight edge and compasses only. Include every construction arc.
(a(i))[2]

Construct the line that bisects angle $BAD$.

(a(ii))[1]

Shade the part of the rectangle that lies nearer to $AB$ than to $AD$.

(b(i))[2]

Construct the perpendicular bisector of segment $GH$.

(b(ii))[1]

Shade the part of the triangle that is nearer to $G$ than to $H$.

(b(iii))[1]

Measure the reflex angle at point $H$.

(c)[3]

Shade the part inside the circle that is more than 5 cm from $M$ and less than 4 cm from $N$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct angle bisector shown with 2 pairs of arcs

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