Simple Construction Summary

• Construction of an angle equal to a given angle.
• Bisecting an angle
• To construct angles 60^o, 120^o and 30^o.
• To construct angles 90^o, 45^o and 135^o.
• To construct angles 75^o and 105^o.
• Drawing the perpendicular bisector of line segment AB.
• Constructing a perpendicular to a line from a point outside it.
• To construct a perpendicular to a line at a point on it.
• To construct a line parallel to a given line through a given point.
• Reflection of a point on a line.
• Construction of triangles given

(a) Two angles and a side

(b) three sides

(c) two sides and the included angle

(d) hypotenuse and a side

• Construction of a triangle when two sides and the angle opposite to one of them are given.
• Construction of an isosceles triangle given the altitude to the base and the vertical angle.
• Construction of a right triangle when the hypotenuse and one acute angle are given.
• To construct a triangle given the base, the sum of the other two sides and one base angle.
• To construct a triangle given the base, the difference of the other two sides and one base angle.
• To construct the triangle, given the perimeter and the base angles.