R S Aggarwal Solutions for Chapter: Constructions (Using Ruler and a Pair of Compasses), Exercise 1: EXERCISE 14A

Draw an angle of $50°$ with the help of a protractor. Draw a ray bisecting this angle.

Construct $\angle AOB = 85°$ with the help of a protractor. Draw a ray $OX$ bisecting $\angle AOB$.

Draw a line $AB$. Take a point $P$ on it. Draw a line passing through $P$ and perpendicular to $AB$.

Draw a line $AB$. Take a point $P$ outside it. Draw a line passing through $P$ and perpendicular to $AB$.

Draw a line $AB$. Take a point $P$ outside it. Draw a line passing through $P$ and parallel to $AB$.

Draw $\angle ABC$ of measure $60°$ such that $AB=4.5 \mathrm{cm}$ and $AC=5 \mathrm{cm}$. Through $C$ draw a line parallel to $AB$ and through $B$ draw a line parallel to $AC$, intersecting each other at $D$. Measure $BD$ and $CD$.

Draw a line segment $AB=6 \mathrm{cm}$. Take a point $C$ on $AB$ such that $AC=2.5 \mathrm{cm}$. Draw $CD$ perpendicular to $AB$.

Draw a line segment $AB=5.6 \mathrm{cm}$. Draw the right bisector of $AB$.