Question

Draw a line $\overline{AB}=5cm$. Bisect $\overline{AB}$into two equal parts using compass

Answer 1

Step 1: Draw a line segment $\overline{AB}$ of length $5cm$

Step 2: With A as centre and radius $>\frac{1}{2}\overline{AB}$ ,Draw a circle

Step 3: With B as centre and same same radius as in step-2, draw an intersecting arc on the circle drawn in step-2 at P and Q respectively

Step 4: Draw the line segment $\overline{PQ}$

Hence, the line segment $\overline{PQ}$ is the perpendicular bisector of line segment $\overline{AB}=5cm$, so $\overline{PQ}$ will divide $\overline{AB}=5cm$ into two equal parts.