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Distinguish between regular and irregular polygons based on reasoning about equal sides and angles; Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons
A plane or 2D shape has 2 Dimensions (such as width and height) but no thickness. Regular Polygons. A polygon is a 2D shape with straight sides. To be a regular polygon all the sides and angles must be the same:
Regular and Irregular Polygons. Here is a list of regular polygons from 3 to 10 sides. For each polygon, a regular and an irregular example have been shown. Any regular polygon will be mathematically similar to the example shown (having the same angles).
This resource supports learning about regular polygons through: Clear visuals: Shows polygons from triangles to dodecagons. Accurate names: Label each polygon with its correct name. Definitions: Reminds learners of key features of regular polygons. Free PDF download: Offers an easily accessible tool.
We can learn a lot about regular polygons by breaking them into triangles like this: Notice that: the "base" of the triangle is one side of the polygon. the "height" of the triangle is the "Apothem" of the polygon; Now, the area of a triangle is half of the base times height, so: Area of one triangle = base × height / 2 = side × apothem / 2
Each geometric shape has a unique name (ex. rectangle, square, oval, etc) and geometrical shapes can be easily identified by looking at an image and seeing the shape’s characteristics, such as number of sides, angles, curves, or points.
Learn Practice Download. Polygons are defined as two-dimensional closed shapes that are formed by joining three or more line segments with each other. We tend to encounter polygons mostly while we learn about geometry.
