Question
Draw a line segment of length $6\ cm.$ Construct its perpendicular bisector. Measure the two parts of theline segment.
✓
Answer
Steps of construction are as follows:
Step I: Draw a line segment $PQ = 6\ cm.$
Step II: With $P$ as centre and a convenient radius $($more than $\frac12 PQ),$ draw an arc.
Step III: With $O$ 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. $\text{OP} = \text{OQ} =\frac12\times\text{PQ} =\frac12\times 6=3 \text{cm}.$
Step I: Draw a line segment $PQ = 6\ cm.$
Step II: With $P$ as centre and a convenient radius $($more than $\frac12 PQ),$ draw an arc.
Step III: With $O$ 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. $\text{OP} = \text{OQ} =\frac12\times\text{PQ} =\frac12\times 6=3 \text{cm}.$
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