Jharne De and Ranjana Kumar Solutions for Chapter: Constructions, Exercise 1: Exercise

Using a scale and a pair of compasses, draw the line segments of length $5.2 \mathrm{c}\mathrm{m}$.

Using a scale and a pair of compasses, draw the line segments of length $7.7 \mathrm{c}\mathrm{m}.$

Draw two-line segments $\mathrm{A}\mathrm{B}$ and $\mathrm{C}\mathrm{D}$ of lengths $3.7 \mathrm{c}\mathrm{m}$ and $5.5 \mathrm{c}\mathrm{m}$ respectively. Construct the line segments of the following lengths:
$\mathrm{A}\mathrm{B}+\mathrm{C}\mathrm{D}$

Draw two-line segments $AB$ and $CD$ of lengths $3.7cm$ and $5.5cm$ respectively. Construct the line segments of the following lengths:
$\mathrm{C}\mathrm{D}+\mathrm{A}\mathrm{B}$

Draw a line segment of length $5 \mathrm{c}\mathrm{m}$. Draw a perpendicular to the line from point $\mathrm{P}$ lying outside the line.

Draw a circle of radius $4.2 \mathrm{c}\mathrm{m}$ with centre at $\mathrm{O}.$ Mark three points, $\mathrm{A},\mathrm{}\mathrm{B},$ and $\mathrm{C},$ such that point $\mathrm{A}$ is on the circle, $\mathrm{B}$ is in the interior, and $C$ is in the exterior of the circle.

Draw two circles of the same radii. $\mathrm{A}$ is the centre of one circle and $\mathrm{B}$ is the centre of the other circle. Draw one of the circles in such a way that it passes through the centre of the circle.

Draw a line segment of length $3.5 \mathrm{c}\mathrm{m}.$ Mark a point $\mathrm{A}$ on it. Construct a perpendicular to the line segment passing through the point $\mathrm{A}.$