Investigate the Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the angles opposite the sides are congruent.
Converse: If two angles in a triangle are congruent, then the sides opposite the angles are congruent.

Play with the side lengths of AB and AC so that they are congruent. What do you notice about the angle measures opposite those sides?
Play with the angles B and C so that they are congruent. What do you notice about the side lengths opposite those angles?
Explain why the approximations are not illustrating the theorem.