Construction Using Ruler and Compass
Construction Using Ruler and Compass: Overview
This topic explains concepts such as Construction of Perpendicular Bisector of a Line Segment, Construction of Angles using Ruler and Compass, Construction of Perpendicular Bisector Using Ruler and Compasses, Construction of Perpendicular to a Line through a Point Not on it, etc.
Important Questions on 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 . Mark any point outside the . Draw a perpendicular from to line segment and measure the perpendicular distance from .

In the diagram, is a constructed parallelogram. What is the measure of ?

Construct perpendicular bisector of a line segment of length using ruler and compass.

Use ruler and compasses to construct the angle of given measure:

Construct an angle of using compass.

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

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

Draw is perpendicular bisector of .

A circle with centre at point and radius is drawn. Two chords and are drawn in it, such that is not parallel to . After that, perpendicular bisectors of and are made. Name the point at which they intersect?

Draw a perpendicular on the line from point .

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 is given below.
- Taking and as centres and radius more than half of , draw arcs on both sides of the line segment (to intersect each other).
- Let these arcs intersect each other at and . Join .
- Let intersect at the point .
Now, is the perpendicular bisector of _____ . ()

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 is

The measure of one of the bisector angle of is
