Which best explains whether or not all isosceles triangles are similar?

For triangles to be similar, their corresponding angles must be equal. An isosceles triangle has two equal angles, but the measure of those angles can vary from one isosceles triangle to another. For example, triangles with angles 50°, 50°, 80° and 70°, 70°, 40° are both isosceles, but their angles do not match, so they are not similar. Thus, the pair of congruent angles in one triangle is not necessarily congruent to the pair in another.

AI-written and checked against the verified answer.