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Problem 506. Triangle with Three Squares, Center, Midpoint, Perpendicular, Congruence. Level: High School, College, SAT Prep.

The drawing shows a triangle ABC with the squares ABDE, BCGH and ACPQ. M is the midpoint of EG and O is the center of the square ACPQ. Prove that: (1) AMCO is another square, (2) MD and MH are congruent and perpendicular.


Triangle Square, Midpoint, Perpendicular, Congruence



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