Draw the perpendicular bisector of a line segment of length 6.4 cm. Also, measure the length of each bisected part.

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Solution

Step 1: Draw a line segment AB = 6.4 cm.

Step 2: Taking A and B as centres and with a radius more than ½AB draw an arc on both sides of the line segment AB

We get two pairs of arc intersecting at C and D respectively.

Step 3: Join the point of intersections of two intersecting arcs i.e. C and D.

Line CD intersects the line segment AB at ‘O’.

Now measure the length of OA and OB which should be OA = OB = 3.2 cm. And ∠COB = ∠COA = 90°

Hence, CD is the perpendicular bisector of AB.

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