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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).
See
also:
Geometric art of
problem 1203 made with iPad
Isolines of problem 1203
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