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. $OP = OQ = 3.5\ cm$.
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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