CPM Homework Help : INT2 Problem 2-17

In an isosceles triangle, the two angles opposite the congruent sides are called the 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 $\overline{SM}$ .

Triangle, M,S,Y, with line segment drawn from the vertex, Y, to the opposite side, S,M, at E, creating 2 internal triangles, S,Y,E, & M,Y,E, labeled as follows: Side, S,Y, 1 tick mark, side, M,Y, 1 tick mark. Side, S,E, 2 tick marks, side, E,M, 2 tick marks.

Make a flowchart to prove that the base angles of $∆\ SYM$ are congruent, that is, prove that $∠S ≅ ∠M$ .
Answer (a):

Would your proof work for any isosceles triangle? State your findings as an if-then statement and add it to your Theorem Graphic Organizer.
Hint (b):
Since we found this to be true, formulate an if-then statement to conclude information from the flowchart.