Geometry, Theorems and Problems

Online Math: Geometry Problem 1226: Quadrilateral, Squares, Centers, Midpoints, Congruence. Tiled background image: Intihuatana, Machu Picchu. Level: College, High School.

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In the figure, O1, O2, O3, O4 are the centers of the squares erected over the sides of a quadrilateral ABCD. If M1, M2, M3, and M4 are the midpoints of O1O2, O2O3, O3O4, and O4O1, respectively, prove that M1M2M3M4 is a square.
 

Geometry Problem 1226: Quadrilateral, Squares, Centers, Midpoints, Congruence.
 
 

 

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Last updated: Jun 10, 2016