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Understanding Regular and Irregular Polygons
Aug 22, 2024
Notes on Polygons by Teacher MJ
Introduction
Topic: Regular and Irregular Polygons
Focus on polygons with 5, 6, 8, and 10 sides.
Definition of Polygon
A polygon is a
closed figure
made up of
line segments
(not curves) in a
two-dimensional plane
.
Examples of Figures
:
Figure 1
: Not a polygon (curved side)
Figure 2
: Not a polygon (open figure)
Figure 3
: Polygon (closed, line segments)
Types of Polygons
Regular Polygons
All sides
equal
and all angles are of
equal measure
.
Example:
Regular Pentagon
(5 sides)
All sides and angles are equal.
Constructed with protractor and ruler.
Irregular Polygons
Do not have equal sides and angles.
Example:
Irregular Pentagon
Sides and angles are not equal.
Example:
Irregular Hexagon
Six sides, not equal.
Classification by Number of Sides
5 Sides: Pentagon
Regular Pentagon
:
5 equal sides and angles.
Irregular Pentagon
:
Sides and angles are not equal.
6 Sides: Hexagon
Regular Hexagon
:
6 equal sides and angles.
Irregular Hexagon
:
Sides and angles are not equal.
8 Sides: Octagon
Regular Octagon
:
8 equal sides and angles.
Irregular Octagon
:
Sides and angles are not equal.
10 Sides: Decagon
Regular Decagon
:
10 equal sides and angles.
Irregular Decagon
:
Sides and angles are not equal.
Conclusion
Importance of understanding regular and irregular polygons.
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