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Rectangle A, C, F, E is created without the line segment C, F. On the line segment A, E are two additional points D and B such that from left to right are points A, D, B, and E. Triangle A, C, B and triangle E, F, D intersect at point G.Examine the diagram at right. Given that , is is isosceles? Prove your answer. Use any format of proof that you prefer.

If , then .