Mathematics

Draw a line segment $\overline{AB}$ of length 6.2 cm. Draw a perpendicular to it at a point M on $\overline{AB}$ by using ruler and compass.

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Steps:

Draw a line segment $\overline{AB}$ of length 6.2 cm.
Mark any point M on $\overline{AB}$ .
With M as centre and any suitable radius, draw an arc to cut $\overline{AB}$ at points C and D.
With C and D as centres, draw two arcs of equal radius $\left(\gt\dfrac{1}{2}\text{CD}\right)$ cutting each other at point Q.
Draw a line passing through points M and Q.

Hence, MQ is the required perpendicular to $\overline{AB}$ at the point M.

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