Question

Draw a line 8.4 cm and divide it into four parts using a compass. [4 MARKS]

Answer 1

Steps: 2 Marks
Construction: 2 Marks

i) Draw a line segment XY of length 8.4 cm.

ii) Draw a circle, while taking point X as centre and radius more than half of XY.

iii) With same radius and taking the centre as Y, again draw arcs to cut the circle at A and B. Join AB which intersects XY at M.

iv) Taking X and Y as centres. Draw two circles more than half of XM.

v) With same radius and taking M as the centre, draw arcs to intersect these circles at P, Q, R and S.

vi) Join PQ and RS. These are intersecting XY at T and U.

vii) Now XT = TM = MU = UY. These are 4 equal parts of XY.