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Question
Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass
7 cm
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Solution

Construction:
Step 1: Drawn a line and marked points A and B on it so that AB = 7 cm.
Step 2: Using compass with A as centre and radius more than half of the length of AB drawn two arcs of same length one above AB and one below AB.
Step 3: With the same radius and B as centre drawn two arcs to cut the already drawn arcs in step 2.
Marked the intersection of the arcs as C and D
Step 4: Joined C and D, CD is the required perpendicular bisector of AB.
AO = OB
= `7/2`
= 3.5 cm, ∠AOC = 90°
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