# Hexagon Angle Theorems

- Author:
- Tim Brzezinski

Interact with the applet below for a few minutes.
Then, answer the questions that follow.
Be sure to change the locations of the hexagon's

**BIG BLACK VERTICES**each time*before*you drag the slider!!! Note:*M*_{1, }*M*_{2, }*M*_{3, }*M*_{4,}M_{5, }&*M*_{6}*serve as midpoints of the sides of this hexagon.***Questions:**1) What geometric transformations took place in the applet above? 2) When working with the hexagon'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 hexagon?*4) When working with the hexagon'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 hexagon?*