Construction - 6


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To bisect a given line segment

AB is a line segment.

The bisector of AB.

(i) With A as centre and a suitable radius greater than ½ AB of length, draw arcs on either side of AB.

(ii) With the same radius and B as centre, cut the previous pair of arcs at points P and Q.

(iii) Join PQ.

(iv) M is the point of intersection of AB and PQ.

(v) PQ bisects AB at M, AM = MB.

(vi) \PQ is the perpendicular bisector of AB.


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