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Draw a line segment of length $ 9.5 \mathrm{~cm} $ and construct its perpendicular bisector.
To do:
We have to draw a line segment of length $9.5\ cm$ and construct its perpendicular bisector.
Solution:
Steps of construction:
(i) Let us draw a line segment $\overline{PQ}$ of length $9.5\ cm$.
(ii) Now, with compasses take a measure greater than half of the length of PQ.
(iii) Now, by pointing the pointer of the compasses at point P and point Q respectively. let's draw two arcs above the line segment $\overline{PQ}$ cutting each other and point it as R.
(iv) Similarly, by pointing the pointer of the compasses at point P and point Q respectively. let's draw another two arcs below the line segment $\overline{PQ}$ cutting each other and point it as S.
(iv) Then, let's draw a line segment joining point R and point S.
(v) Therefore, the required perpendicular bisector of the line segment $\overline{PQ}$ is formed.
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