Draw any line segment $ \overline{\mathrm{PQ}} $. Take any point $ \mathrm{R} $ not on it. Through $ \mathrm{R} $, draw a perpendicular to $ \overline{\mathrm{PQ}} $. (use ruler and set-square)
To do:
We have to draw a perpendicular to $\overline{PQ}$.
Solution:
Steps of construction:
(i) Let us draw a line segment $\overline{PQ}$ and mark a point R outside it.
(ii) Now, place a set square in such a way that one of its right angles aligns with $\overline{PQ}$
(iii) Now, by placing a ruler along the edge opposite to the right angle of the set-square hold the ruler fixed.
(iv) Then, let us slide the set-square along the ruler such that the point R touches the other side of the set-square.
(v) Now, let's draw a line along the edge of the set-square which passes through point R.
(vi) Therefore, the required line perpendicular to $\overline{PQ}$ is formed.
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