[b]Investigating the Triangle Sum Theorem[/b][br][br]To investigate interior angles of a triangle:[br][br]Complete the following steps/questions.[br]1) Write a theory about the interior angles of a isosceles triangle.[br]2) Click and drag the vertices to form an isosceles triangle.[br]3) Record the interior angle measures of the triangle and state how you know it is isosceles.[br]4) Write an equation relating the interior angle measures of the triangle.[br]5) Repeat steps 1 thru 4 for a scalene and a right triangle.[br]6) What do you observe about the triangle's 3 interior angles?[br]7) Does your theory come true for each case? Why or why not?

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.