What is a Polygon?
A Polygon is a closed figure made of line segments. Polygons have at least three angles and at least three line segments. A polygon is named by the number of sides it has.
Convex Polygon or Convex Polygon
A Polygon is Convex if no line that contains a side of the polygon contains a point in the interior of the polygon. Every interior angle in a convex polygon is less than 180°.
A polygon that is not convex is called non convex or Concave.
Sample Problem 1:
Tell whether the figure is a polygon and whether it is convex or concave.
Sample Problem 2:
Draw a figure that fits the description.
Commonly Used Polygons
In an Equilateral Polygon, all sides are congruent.
In an Equiangular Polygon, all angles in the interior of the polygon are congruent.
A Regular Polygon is a convex polygon that is both equilateral and equiangular.
Irregular Polygon is one that does not have all sides equal and all angles equal.
Sample Problem 3:
Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular.
Sample Problem 4:
Draw a figure that fits the description.
Sample Problem 5:
Each figure is a regular polygon. Expressions are given for two side lengths. Find the value of .
Here are your FREE Classifying Polygons materials for this lesson.
Just click the links below to download the worksheets.
Classifying Polygons Worksheet – Word Docs & PowerPoints
1-6 Guide Notes Student Edition
Classifying Polygons Worksheet PDFs
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