Construction Using Ruler and Compass

Construct angles congruent to the following angles.

Construct angles congruent to the following angles.

Construct angles congruent to following angles.

Draw a line segment $CD= 8 \mathrm{cm}$. Mark any point $P$ outside the $\overline{CD}$. Draw a perpendicular from $P$ to line segment $CD$ and measure the perpendicular distance from $P$.

In the diagram, $KLMN$ is a constructed parallelogram. What is the measure of $\angle KLM$?

Construct perpendicular bisector of a line segment of length $6 \mathrm{cm}$ using ruler and compass.

Use ruler and compasses to construct the angle of given measure:
${60}^{\mathrm{o}}$

Construct an angle of $30°$ using compass.

Construct a perpendicular to a line $EF$ through a point $N$ not on it.

Construct a perpendicular to a line through a point, not on it. 

Draw $\overline{\mathrm{CD}}$ is perpendicular bisector of $\overline{\mathrm{AB}}$. 

A circle with centre at point $O$ and radius $6 \mathrm{c}\mathrm{m}$ is drawn. Two chords $PQ$ and $RS$ are drawn in it, such that $PQ$ is not parallel to $RS$. After that, perpendicular bisectors of $PQ$ and $RS$ are made. Name the point at which they intersect?

Draw a perpendicular on the line $MN$ from point $X$.

Explain the method to draw a perpendicular to a line through a point which does not lie on it.

Construction of bisector of an angle _____ be done by folding of tracing paper. [can / cannot]

Steps of construction of perpendicular bisector of a line segment $AB$ is given below.

1. Taking $A$ and $B$ as centres and radius more than half of $AB$, draw arcs on both sides of the line segment $AB$ (to intersect each other).
2. Let these arcs intersect each other at $P$ and $Q$. Join $PQ$.
3. Let $PQ$ intersect $AB$ at the point $M$.

Now, $PQ$ is the perpendicular bisector of _____ . ($AB/AQ/QM$)

To bisect an angle, how many arcs are required to be drawn?

Observe the clock:

At what point should a second hand bisect the angle formed by two hands of a clock?

The measure of one of the bisector angle of $170°$ is

The measure of one of the bisector angle of $52°$ is