Question
Draw a line segment of length $9.5\ cm$ and construct its perpendicular bisector.
✓
Answer
The below given steps will be followed to construct a line segment of length $9.5\ cm$ and its perpendicular bisector.
$1.$Draw a line segment $\overline{\text{PQ}}$ of $9.5\ cm.$
$2.$Taking $P$ as centre, draw a circle by using compasses. The radius of circle should be more than half the length of $\overline{\text{PQ}}$.
$3.$With the same radius as before, draw another circle using compasses while taking point $Q$ as centre. Let it cut the previous circle at $R$ and $S.$
$4.$Join RS. $\overline{\text{RS}}$ is the axis of symmetry i.e., the perpendicular bisector of line $\overline{\text{PQ}}$.
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