Go Geometry Problem Geometric Art: Problem 1203: Right Triangle, Square. Graphic Design, iPad Apps

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.
  

Geometric art: Right Triangle, Square


 

See also:
Original problem 1203

 

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