Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

The scale diagram shows three sides of a wildlife park, namely AB, BC and CD. According to the scale, 1 centimetre stands for 50 metres.
(a)[2]

State the true distance AB in metres.

(b)[3]

Use only a ruler and compasses to locate point E and draw AE and DE.

(c)[4]

Using only a straight edge and compasses, construct (i) the route that bisects angle ABC, (ii) the route that is the same distance from point C and point D.

(d(i))[3]

Construct the lake on the scale drawing.

(d(ii))[2]

Calculate the actual circumference of the lake in metres.

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