C D B Take these steps to prove that every triangle is isosceles. **Let ABC be a triangle. Label as G the point of intersection of the angle bisector of angle C and the perpendicular bisector of side AB. Denote by D, E, and F, the feet of the perpendiculars from G to the sides of the triangle. First step: Prove that CF = CE. Second step: Prove that FA = EB. Third step: conclude that AC = BC. Fourth step: Find the error.

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