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Problem 497. Triangle, Two Squares, Centers, Midpoint, 90 Degrees.
Level: High School, College, SAT Prep.

The figure shows a triangle ABC with the squares ABDE and BCFG of center M and N, respectively. If point O is the midpoint of AC prove that OM and ON are congruent and perpendicular.

Triangle with squares, Midpoint, 90 degrees

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