In this investigation, you are given that two corresponding angles of the triangles are congruent:[br][math]\angle A\cong\angle[br]E, \angle B\cong\angle D[/math]. [br][br]Are the sides always going to stay proportional and is angle C going to stay congruent to angle F? If so, the triangles are similar. If not, the triangles are not similar. [br][br]You can pull on any of the BLUE dots to change the size of the triangles and the corresponding angles will remain congruent. Do the sides remain proportional and do the third pair of corresponding angles stay congruent so that the triangles stay similar?