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Constructing different angles and shapes




 
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More Lessons for Geometry

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In this lesson, we will look at constructing different angles and shapes using compasses

  • A 90˚ angle can be obtained by constructing a perpendicular bisector.
  • A 45˚ angle can be obtained by bisecting a 90˚ angle.
  • A 22.5˚ angle can be obtained by bisecting a 45˚ angle.
  • A 60˚ angle can be obtained by constructing an equilateral triangle.
  • A 30˚ angle can be obtained by bisecting a 60˚ angle.
  • A 15˚ angle can be obtained by bisecting a 30˚ angle.


Example:

The figure shows a point A on a straight line. Construct an angle of 45˚ at point A.


Solution:

Construct a 90˚ angle, and then construct an angle bisector to obtain a 45˚ angle.

The following video shows

  • how to bisect a line
  • how to bisect an angle
  • how to construct a right angle
  • how to construct a 60˚ angle
  • how to construct a hexagon




The following video shows

  • how to construct a 120 ˚ angle
  • how to construct a 45 ˚ angle
  • how to construct a 30 ˚ angle
  • how to construct an equilateral triangle
  • how to construct triangle given 3 sides using compasses



 

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