[b]Investigating the Triangle Angle Sum Theorem[/b][br][br]To Investigate: Click and drag the vertices of the triangle and use the sliders to rotate the vertices.[br][br]Complete the activities below.

1) Hit the Reset Construction button (in upper right hand corner).[br]2) Click and drag the vertices to create 3 types of triangles: an acute, an obtuse, and a right triangle.[br]3) Record the interior angle measures of the triangle for each case.[br]4) Write an equation relating the 3 interior angle measures for each case.[br]5) What do you observe about the triangle's three interior angles when the sliders are set to 180?[br]6) Does the Triangle Angle Sum Theorem hold true for each case? Be prepared to explain your answer.