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Geometry Problem 577: Isosceles triangle, Midpoint, Perpendicular, Concyclic points, Circle. Level: Math Education, High School, College

The figure shows an isosceles triangle ABC (AB = BC). D is the midpoint of AC and DE is perpendicular to BC. F is the midpoint of DE and AE intersects BF at G. Prove that the points A, D, G, and B are concyclic (lie on a same circle).

Isosceles triangle, perpendicular, midpoint, concyclic points


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