Copy of Exploring Interior Angles of Polygons
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Exploring Interior Angles of Polygons
Exploring Interior Angles of Polygons
What is the sum of the interior angles of the 4 sided figure?
What is the sum of the interior angles of the 5 sided figure?
Recall the sum of the interior angles of a triangle; list the sum of the interior angles of a triangle, the 4 sided figure, and the 5 sided figure (in that order)
Do you notice a pattern? If yes, describe it below:
if you were able to find a pattern, predict the sum of interior angles of a 6 sided figure and a 7 sided figure
why do you think this pattern exists?
Copy of Polygons: Exterior Angles - REVAMPED
The exterior angles of a triangle, quadrilateral, and pentagon are shown, respectively, in the applets below. [br][br]You can control the size of a colored exterior angle by using the slider with matching color. [br]Feel free to move the vertices of these polygons anywhere you'd like. [br][br][b]Note:[/b] [br]For the [b]quadrilateral[/b] & [b]pentagon[/b], the last two applets work best if these polygons are kept [b]convex.[/b][br]If you don't remember what this term means, [url=https://www.geogebra.org/m/knnPDMR3]click here for a refresher[/url].
Exterior Angles of a Triangle
Exterior Angles of a Quadrilateral
Exterior Angles of a Pentagon
1.
What do you notice? What is common about the measures of the exterior angles of any one of these polygons?