Question

Divide the line $PQ=10cm$ in two equal parts.

Answer 1

Step 1: Draw a line $PQ$ of length $10cm$ using a ruler.

Step 2: Place the compass on point $P$ and draw two arcs above and below line $PQ$ with radius greater than $5cm$

Step 3. Repeat the above step by placing a compass on $Q$ such that the arcs from point $Q$ intersect the arcs from point $P$.

Step 4: Join the intersection points of the arcs and let it intersect line$PQ$ at $R$.

Thus, $R$ divides line $PQ$ in the ratio $1:1$, i.e, two equal parts.