Practical Geometry

This chapter deals with methods of drawing geometrical shapes.
- We use the following mathematical instruments to construct shapes:
(i) A graduated ruler
(ii) The compasses
(iii) The divider
(iv) Set-squares
(v) The protractor

- Using the ruler and compasses, the following constructions can be made:
(i) A circle, when the length of its radius is known.
(ii) A line segment, if its length is given.
(iii) A copy of a line segment.
(iv) A perpendicular to a line through a point on the line not on the line.
(v) The perpendicular bisector of a line segment of given length.
(vi) An angle of a given measure.
(vii) A copy of an angle.
(viii) The bisector of a given angle.

(ix) Some angles of special measures such as
(a) 90°
(b) 45°
(c) 60°
(d) 30°
(e) 120°
(f ) 135°