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Pentagon: Interior Angles

Interact with the app below for a few minutes.  Then answer the questions that follow.   Be sure to change the locations of the pentagon's VERTICES each time before you drag the slider. Note: The points on the pentagon's sides are midpoints.

What geometric transformations took place in the app above?

Did any of these transformations change the measures of these interior angles?  If so, explain how. If not, explain why not.

From your observations, what is the sum of the measures of the interior angles of any pentagon?