4.1 Triangle Sum Conjectures
Interact with the applet below for a few minutes.
Then, answer the questions that follow.
Be sure to change the locations of the triangle's WHITE VERTICES each time before you drag the slider!!!
Check ALL answers that apply!
What rigid transformation(s) took place in this investigation?
Interior Angle Conjectures
When working with the triangle's interior angles, did any of these transformations change the measures of the blue or green angles?
From your observations, what is the sum of the measures of the interior angles of ANY triangle?
Exterior Angle Conjectures
When working with the triangle's exterior angles, did any of these transformations change the measures of the green or gray angles?
From your observations, what is the sum of the measures of the exterior angles of ANY triangle?
Use the applet below to draw a conjecture related to the exterior angle and remote interior angles of this triangle.
From your observations, what appears true about the measure of the exterior angle and the measures of the two remote interior angles?