Question

Draw any line segment $AB$. Mark any point $M$ on it. Through $M$, draw a perpendicular to $AB$(use ruler and compasses).

Answer 1

Step 1. Draw a line segment $AB$ and mark a point $M$ on it as the first step.

Step 2. Next, construct an arc intersecting the line segment $A$ at points $C$ and $D$, using $M$ as the center and a convenient radius.

Step 3. Finally, construct two arcs with $C$ and $D$ as centers and a radius bigger than $CM$ so that they intersect at point $E$.

Step 4. The final step is to join $EM$. $EM$ has now become perpendicular to $AB$.

Hence, the diagram is shown below: