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In the given figure, PQ is a line segment, PQ = 8 cm. L is a perpendicular bisector passing through PQ at M. Find the value of MQ.

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16 cm

8 cm

2 cm

4 cm

answer is B.

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Detailed Solution

A perpendicular bisector always divides a line segment through its midpoint. The term bisect itself means dividing equally or uniformly.

Given, PQ = 8 cm and LM is a perpendicular bisector.

$MQ = \frac{1}{2} PQ$

$= \frac{1}{2} \times 8$

$= 4 cm$

Therefore, the value of MQ = 4 cm.

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