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2-17.

Triangle 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 SM . Homework Help ✎

  1. ​Make a flowchart to prove that the base angles of ∆ SYM are congruent, that is, prove that ∠S ≅ ∠M.

  2. Tool boxWould 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.