Dr Pooranmal and Ashfaq A Khan Solutions for Chapter: Geometrical Constructions, Exercise 2: EXERCISE 20.2

Draw a line segment of length $7.4 cm$. Bisect it and measure the length of each part.

Draw a line segment $AB$ of length $6.6 cm$. Draw the perpendicular bisector of the line segment.

Draw a line segment $AB$ and by ruler and compasses, obtain a line segment of length.

Draw an angle and label it as $\angle BAC$. Construct another angle, equal to $\angle BAC$ and label it as $\angle PQR$.

Draw a line segment $AB$ of length $10 cm$. Mark a point $P$ on $AB$ such that $PB=6 cm$. Draw a line though $P$ perpendicular to $AB$.

Draw a line segment $PQ$ of length $8 cm$. Mark a point $O$ outside this line segment. Draw a line though $O$ perpendicular to $PQ$. 

Using a protractor, draw $\angle QPR=50°$. Take a point $O$ in the interior of the $\angle QPR$. From $O$ draw line segment $OA$ and $OB$ such that $OA\perp PQ$ $OB\perp PR$ Measure angle $\angle AOB$.

Draw an $\angle BAC=70°$ such that $AB=4 cm$ and $AC=6 cm$. 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 $CD.$