Investigation 3 Regular Polygons Shapes and Designs.

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Presentation transcript:

Investigation 3 Regular Polygons Shapes and Designs

Investigation 3 Table PolygonNumber of SidesMeasure of an AngleAngle Sum Triangle Square Pentagon Hexagon Heptagon Octagon Nonagon Decagon Shapes and Designs

Investigation 3 Suppose you tear the three corners off of a triangle. You can arrange them this way: Based on the picture, what is the sum of angles 1, 2, and 3? How do you know? Make a conjecture about the angle sum of any triangle. Based on the picture, what is the sum of angles 1, 2, 3, and 4? How do you know? Make a conjecture about the angle sum of any quadrilateral. You can do the same thing with a quadrilateral. Do similar patterns hold for other polygons? Shapes and Designs End of Investigation