Question
Draw a line $l$ and a point $X$ on it. Through $X,$ draw a line segment $\overline{\text{XY}}$ perpendicular to $l.$ Now draw a perpendicular to $\overline{\text{XY}}$ at $Y. ($use ruler and compasses$)$

Answer

$1.$Draw a line $l$ and mark a point $X$ on it.

$2.$Taking $X$ as centre and with a convenient radius, draw an arc intersecting line l at two points $A$ and $B.$

$3.$With $A$ and $B$ as centres and a radius more than $AX,$ construct two arcs intersecting each other at $Y.$

$4.$Join $XY.$ $\overline{\text{XY}}$ is perpendicular to $l.$

Similarly, a perpendicular to $\overline{\text{XY}}$ at the point $Y$ can be drawn. The line $\overline{\text{ZY}}$ is perpendicular to $\overline{\text{XY}}$ at $Y.$

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