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GeoGebraGeoGebra Classroom

Octagon Angle Theorems

Interact with the applet below for a few minutes.   Then, answer the questions that follow.   Be sure to change the locations of this octagon's vertices each time before you drag the slider!!! Note: The points on each side of this octagon are midpoints.
Questions: 1) What geometric transformations took place in the applet above?   2) When working with the octagon's interior angles, did any of these transformations change the measures of these interior angles?   3) From your observations, what is the sum of the measures of the interior angles of     any octagon?   4) When working with the octagon's exterior angles, did any of these transformations change the measures of these exterior angles? 5) From your observations, what is the sum of the measures of the exterior angles of     any octagon?