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Question

Bisect a line of length 7 cm. Write down the steps of construction.

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Solution

Steps of construction :
1) Draw a line segment AB = 7 cm by using a graduated ruler.
2) With A as centre and radius more than half of AB, draw arcs, one on each side of AB.
3) With B as centre and the same radius as in step 2, draw arcs cutting the arcs drawn in step 2 at E and F respectively.
4) Draw the line segment with E and F as end-points. Suppose it meets AB at M. Then, M bisects the line segment AB.
By measuring, AM=MB = 3.5 cm

1276492_1360465_ans_1765a80526c24e54880d2195630522e1.png

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