Question
Draw a line $AB$ and take two points $C$ and $E$ on opposite sides of $AB.$ Through $C,$ draw $\text{CD}\perp\text{AB}$ and through $E$ draw $\text{EF}\perp\text{AB}.$ Using ruler and compassed.
✓
Answer
Draw a line $AB$ and take two points $C$ and $E$ on its opposite sides. With $C$ as centre, draw an arc $PQ,$ which intersects line $AB$ at $P$ and $Q$. Taking $P$ and $Q$ as centres, construct two arcs, such that they intersect each other at $H.$ Join points $H$ and $C$. $HC$ crosses $AB$ at $D.$ We have $\text{CD}\perp\text{AB}.$ Similarly, take $E$ as centre and draw an arc $RS.$ Taking $R$ and $S$ as centres, draw two arcs which intersect each other at $G. $ Join points $G$ and $E. GE$ crosses $AB$ at $F.$ We have $\text{EF}\bot\text{AB}.$
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