Question
AB is the diameter of a circle.
C is a point on AB such that AC = 4cm.
(a) Using a straight edge and compasses only, construct
(i) the locus of points which are equidistant from A and from B,
(ii) the locus of points which are 4 cm from C.
(b) Shade the region in the diagram which is
• nearer to B than to A
and
• less than 4 cm from C.
Answer/Explanation
(a) 
(b)
Question
(a) Using a straight edge and compasses only, construct the perpendicular bisector of AB.
Show all your construction arcs.
(b) Draw the locus of points that are 4 cm from A.
(c) Shade the region which is less than 4 cm from A and nearer to B than to A.
Answer/Explanation
(a)Perpendicular bisector drawn with 2 pairs of arcs and ruled
(b) Circle drawn radius 4cm
(c)Correct region shaded
Question
Triangle ABC has sides AB = 40m, BC = 25m and AC = 35m.
Using a scale of 1 cm to represent 5m, construct triangle ABC.
The construction must be completed using a ruler and compasses only.
All construction arcs must be clearly shown.
Answer/Explanation
Ans: Triangle drawn correctly with ruler and arcs
Question
(a) On the diagram above, draw a line perpendicular to the line AB, through the point P.
(b) Using a straight edge and compasses only, construct the locus of points that are equidistant
from A and from C.
Answer/Explanation
Ans:
(a) Ruled perpendicular line
through P
(b) Correct ruled line drawn
with 2 correct sets of arcs