Similar Triangles and Other Figures

Recall that...

Two figures are said to be congruent if the second can be obtained from the first by a sequence of rotations, reflections, and translations.  Previously, we found that we only needed three pieces of information to guarantee that two triangles were congruent:  SSS, ASA, or SAS. What about AAA?  Are two triangles congruent if all three pairs of corresponding angles are congruent? In this task we will consider what is true about such triangles.