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van Aubel's Theorem: Quadrilateral with Squares, Congruence, 90 Degrees for Tablets, iPad, Nexus, Galaxy. Level: High School, Honors Geometry, College, Mathematics Education

Given an arbitrary planar quadrilateral UTAH, place a square outwardly on each side, and connect the centers of opposite squares: M, O, N, and Y. Then van Aubel's theorem states that the two lines MO and NY are of equal length and cross at a right angle.

 

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van Aubel's Theorem: Quadrilateral with Squares, Congruence, 90 Degrees for Tablets, iPad, Nexus, Galaxy
 
 

Home | SearchGeometry | Problems | van Aubel Theorems | Geometry Problem 1226 | Quadrilaterals | Square | iPad | Email | Comment | by Antonio Gutierrez