Question
Draw a line segment of length $7\ cm.$ Draw its perpendicular bisector, using ruler and compasses.

Answer

Steps of construction are as follows:
Step I: Draw a line segment, $PQ = 7\ cm.$  Step II: With $P$ as centre and a convenient radius $($more than $\frac12\text{PQ})$, draw arc.
Step III: With $Q$ as centre and same radius, draw another arc, such that it intersects the previous arc at $A$ and $B.$ Step IV: Join $A $ and $B.$ Thus, $AB$ is perpendicular bisector of $PQ$ i.e. $OP = OQ = 3.5\ cm.$

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