Draw two lines $\mathrm{AB}$ and $\mathrm{CD}$ which intersect at the point $\mathrm{O}$. Bisect the both vertically opposite angles $\angle \mathrm{COA}$ and $\angle \mathrm{BOD}$ with the help of scale and compass and verify that their bisectors are on the same line.

Use ruler and compass for the question. Construct a circle of radius $4.5 \mathrm{cm}$. Draw a chord $AB=6 \mathrm{cm}$.

Find the locus of points equidistant from $A$ and $B$. Mark the point where it meets the circle as $D$.

Use ruler and compass for this question. Construct a circle of radius $4.5 \mathrm{cm}$. Draw a chord. $\mathrm{AB}=6 \mathrm{cm}$. Find the locus of points equidistant from $\mathrm{A}$ and $\mathrm{B}$.
Mark the point where it meets the circle as $\mathrm{D}$. Join $\mathrm{AD}$ and find the locus of points which are equidistant from $\mathrm{AD} \text{and} \mathrm{AB}$. Mark the point where it meets the circle as $\mathrm{C}$.

A circle of radius $4.5 cm$ is drawn with chord $AB 6 cm$. $D$ is the locus of points of $A$ and $B$. $C$ is the locus of points of $AD$ and $AB$. Join $BC$ and $CD$. Measure and write down the length of side $CD$ of the quadrilateral $ABCD$.​

The angle which cannot be constructed using a ruler and compass only is

With a ruler and compass only, construct the following angle:

$150°$.

Copy $\angle AOB$ shown in the given figure. Using a ruler and compass, construct an angle equal to $2\frac{1}{2}$times $\angle AOB$.