Draw a line segment of length $5.3cm$and find its axis of symmetry.

Step 1: Draw a line segment $\overline{AB}$ of length 5.3 cm

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 $\overline{PQ}$

The line segment $\overline{PQ}$ is the required perpendicular bisector of $\overline{AB}$.