Copy the diagram at right onto your paper.  

1. Find the measures of all the angles in the diagram.

   Hint (a):

   Isosceles triangles have two congruent base angles.

   More Help (a):

   Vertical angles are congruent. So $m∠ACB=m∠DCE$.

2. Make a flowchart showing that the triangles are similar.

   Hint (b):

   As long as you have a minimum of two pairs of congruent angles you can prove the triangles similar by using $\text{AA}\sim$.

3. Cheri and Roberta noticed their similarity statements for part (b) were not the same. Cheri had stated $ΔABC∼ΔDEC$, while Roberta maintained that $ΔABC∼ΔEDC$. Who is correct? Or are they both correct? Explain your reasoning.

   Hint (c):

   Cheri's similarity statement says the second triangle is a reflection and dilation of the first, while Roberta's statement says it is a rotation and dilation of the original triangle. Who is correct?