Angle Angle Angle (AAA)
The assertion is that when all three angles match, the triangles sides must also match. If there is not counter-example, then we accept this to be true. If you can make a triangle whose angles match, but the sides are different, you found a counter-example and the assertion is not true.
DIRECTIONS:
Drag the red points of the Givens in the top half of the drawing to adjust the chosen angle measures.
Then adjust the points of each triangle to try to make congruent and non-congruent triangles in the bottom half.
Exploration Results
Can you make a triangle with points A'B'C' that has the same angles as triangle ABC, but has different side lengths?