Angle Sum
The applets below are to help you see why / how the sum of the angles of any triangle is 180. This knowledge will prove to be an important tool.
Directions:
- Move points A, B and C to change the triangle’s shape and size.
- Next, move the green point on the slider completely to the right. What is the sum of the three angles?
- Repeat steps (1) and (2). What do you observe about the sum of the angles?
- What mathematical reason can be used to justify the two green-shaded angles
are congruent?;
the two blue-shaded angles are congruent?;
and the two brown-shaded angles are congruent?
Applet created by Steven Lapinski
Directions:
- Move the vertices of ∆ABC around.
- Notice that the angles change when you move the vertices.
- Pull the red slider to watch the animation.
- What mathematical concept are you supposed to learn from this applet?
Applet created by Duane Habecker, 4/12/07
Licensed under the Creative Commons Attribution Share Alike 3.0 License