Kala - Build Congruent Triangles
Let's see how many different (non-congruent) triangles that we can create given certain circumstances. Move the red dots around to try create different triangles. You can also change the shape of the original triangle, so try changing it's shape. A green triangle represents congruent triangles and orange triangles represent non-congruent triangles.
#1
List the circumstances where you get congruent triangles (in the order that they appear).
#2
If two triangles have all three angles that are the same, must the triangles be congruent?