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Geometry Problem 1203: Right Triangle, Square, Angle Bisector, Perpendicular, Three Congruent Quadrilaterals. Tiled background image: Twelve Angled Stone, Cusco. Online High School, College.

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The figure shows a right triangle ABC with the square ACDE. The bisector of angle ABC cuts AC and DE at F and G, respectively. HM is perpendicular to BF at B (H on EA extended, M on DC extended). Prove that the quadrilaterals AFGE, FCDG, and AHMC are congruent (same shape and size).
  

Geometry Problem 1203: Right Triangle, Square, Angle Bisector, Perpendicular,Three Congruent Quadrilaterals.
  

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Geometric art of problem 1203 made with iPad

Isolines of problem 1203
 
 

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Last updated: Apr 1, 2016