### Home > INT2 > Chapter 2 > Lesson 2.1.2 > Problem 2-17

2-17.

**base angles**. You may have learned in a previous course that the base angles of an isosceles triangle are always congruent. Now you will prove it! In the diagram at right, ∆ *SYM *is an isosceles triangle, and point *E* is the midpoint of *SM* . Homework Help ✎

Make a flowchart to prove that the base angles of ∆

*SYM*are congruent, that is, prove that ∠*S*≅ ∠*M*.Would your proof work for any isosceles triangle? State your findings as an if-then statement and add it to your Theorem Graphic Organizer. Since we found this to be true, formulate an if-then statement to conclude information from the flowchart.