Construct Perpendicular Bisector of a Line Segment

Draw a line segment of length $12.8 \mathrm{c}\mathrm{m}.$ Using compasses, divide it into four equal parts. Verify by actual measurement.

Draw a line segment of length $9.5 \mathrm{c}\mathrm{m}$ and construct its perpendicular bisector.

Draw $\stackrel{-}{\mathrm{A}\mathrm{B}}$ of length $7.3 \mathrm{c}\mathrm{m}$ and find its axis of symmetry.

Arrange the following steps to construct perpendicular bisector of line segment $AB$.

Step-1: With the same radius and with $B$ as centre, draw another circle using compasses, which cuts the previous circle at $X$ and $Y$.

Step-2: Join $XY.$ Now is the required perpendi- cular bisector of $\overline{AB}$

Step-3: Draw a $\overline{AB}$ of any length.

Step-4: With $A$ as centre, using compasses, draw a circle. The radius of the circle should be more than half the length of $\overline{AB}$.

Draw perpendicular bisector of line segment $\mathrm{AB}=7.5 \mathrm{cm}$.

Divide the line segment of length $8.4 \mathrm{cm}$ into four equal parts using compasses.