Constructing different angles and shapes
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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