What geometry theorem's proof is dynamically being illustrated here? [i]Feel free to move the vertices of either triangle anywhere [/i][i]you'd like![/i]
[b][color=#000000]Angle-Angle (AA) Similarity Theorem: [/color][br][/b][br]If two angles of one triangle are congruent to two angles of another triangle, then those triangles are similar. [br][br]Recall two figures are similar if and only if one can be mapped perfectly onto another after undergoing a composition of any number of transformations (rotation about point, reflection about line, reflection about point, translation by vector, dilation about point).[br][br]This illustration first translates the original triangle, rotates this image about a point, and then dilates this "newer" triangle about that same point with a certain scale factor. [br]