Question
Draw any line segment $\overline {AB} $. Mark any point $M$ on it. Through $M$ draw a perpendicular to $\overline {AB} . ($Use ruler and compasses$)$

Answer


Steps of construction:

$a.\ $Draw a line segment $\overline {AB} $ and mark a point $M$ on it.
$b.\ $With $M$ as centre and a convenient radius, draw an arc intersecting $\overline {AB} $ at $x$ and $y.$
$c.\ $With $x$ and $y$ as centres and radius greater than half of $\overline {xy} $, draw two arcs which cut each other at $'Q'.$
$d.\ $Join $P, Q.$
Now, $PQ \bot AB$

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