### Home > GC > Chapter 5 > Lesson 5.2.2 > Problem 5-57

5-57.

Find the measures of all the angles in the diagram.

Isosceles triangles have two congruent base angles.

Vertical angles are congruent. So

.Make a flowchart showing that the triangles are similar.

As long as you have a minimum of two pairs of congruent angles you can prove the triangles similar by using

. Cheri and Roberta noticed their similarity statements for part (b) were not the same. Cheri had stated

, while Roberta maintained that . Who is correct? Or are they both correct? Explain your reasoning. 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?