Introduction
Geometrical figures help us to understand various geometrical concepts. When we prove geometrical propositions by logical reasoning, we draw only a rough figure and we do not need to take accurate measurements but geometrical constructions have to be drawn accurately to the given measurements. They are used by scientists, artists and engineers. These constructions are done using ruler and compass only.
Construction - 1
Bisecting an angle.
Construction - 2
To bisect an angle.
Construction - 3
To construct angles of 60o, 120o and 30o.
Construction - 4
To construct angles of 90o, 45o and 135o.
Construction - 5
To construct angles of 75o and 105o.
Construction - 6
Drawing the perpendicular bisector of line segment AB.
Construction - 7
Constructing a perpendicular to a line from a point outside it..
Construction - 8
To construct a perpendicular to a line at a point on it.
Construction - 9
To construct a line parallel to a given line through a given point.
Construction - 10
Reflection of a point on a line.
Construction - 11
Construction of Triangles.
Construction - 12
Two sides and the angle opposite to one.
Construction - 13
To construct an isosceles.
Construction - 14
To construct an right angle.
Construction - 15
To construct a triangle when the sum of two sides, the remaining side and the angle between them are given (We assume that the given angle can be constructed with ruler and compass alone).
Construction - 16(a)
To construct a triangle given the base, the difference of the other two sides and one base angle.
Construction - 16(b)
To construct a triangle given the base, the difference of the other two sides and one base angle.
Construction - 17
To construct the triangle, given the perimeter and the base angles.
Summary
Construction of an angle equal to a given angle. To construct a perpendicular to a line at a point on it.
