R. D. Sharma Solutions for Chapter: Geometrical Constructions, Exercise 3: EXERCISE

Draw a line segment of length $8.6 \mathrm{cm}$. Bisect it and measure the length of each part.

Draw a line segment $AB$ of length $5.8 \mathrm{cm}$. Draw the perpendicular bisector of this line segment.

Draw a circle with centre at point $O$ and radius $5 \mathrm{cm}.$ Draw its chord $AB$, draw the perpendicular bisector of line segment $AB$. Does it pass through the centre of the circle?

Draw a circle with centre at point $O$. Draw its two chords $AB$ and $CD$ such that $AB$ is not parallel to $CD$. Draw the perpendicular bisectors of $AB$ and $CD$. At what point do they intersect?

Draw a line segment of length $10 \mathrm{cm}$ and bisect it. Further bisect one of the equal parts and measure its length.

Draw a line segment $AB$ and bisect it. Bisect one of the equal parts to obtain a line segment of length $\frac{1}{2}\left(AB\right).$

Draw a line segment $AB$ and by ruler and compasses, obtain a line segment of length $\frac{3}{4}\left(AB\right)$.