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The line segment PQ=12 cm, if LM is a perpendicular bisector of PQ, then find the value of MQ.

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4 cm

10 cm

6 cm

8 cm

answer is C.

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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 = 12 cm and LM is a perpendicular bisector.

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

$= \frac{1}{2} \times 12$

$= 6 cm$

Therefore, the value of MQ= 6 cm.

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