Dynamic Geometry Problem 1445: Van Aubel's theorem, Quadrilateral and Four Squares, Centers

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

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van Aubel's Theorem: Quadrilateral with Squares, Congruence, Perpendicular

Geometric Art: Typography, iPad

Details: Click on the figure below.

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van Aubel's Theorem, Proof with animation

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

Click the diagram below to open the animation.

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van Aubel s Theorem

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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gogeometry.com/vanaubel.html

Elearn Geometry Problem 131

See complete Problem 131
Van Aubel Theorem, Concurrent Cevians, Sum of Ratios. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.