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Question
Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass
8 cm
Solution
Construction:
Step 1: Drawn a line. Marked two points A and B on it so that AB = 8 cm
Step 2: Using compass with A as centre and radius more than half of the length of AB, drawn two arcs of the 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 arcs drawn in step 2.
Marked the points of intersection of the arcs as C and D.
Step 4: Joined C and D, CD intersect AB. Marked the point of intersection as ‘O’.
CD is the required perpendicular bisector of AB.
AO = OB
= `8/2`
= 4 cm, ∠AOC = 90°
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