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Dynamic Geometry: Butterfly Theorem Proof: Circle, Chord, Midpoint, Inscribed Angle, SAS Similarity, Cyclic Quadrilateral, ASA Congruence. HTML5 Animation for Mobile Devices.

Given two circles of centers A and B, draw the tangents AC, AD, BE, and BF from the center of each circle to the other. Then the chords MN and PQ are of equal length.

 

Static Geometry: Butterfly Theorem Proof.

Dynamic Geometry: Butterfly Theorem Proof: Circle, Chord, Midpoint, Inscribed Angle, SAS Similarity, Cyclic Quadrilateral, ASA Congruence. HTML5 Animation for Mobile Devices.

 

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Last update Jun 30, 2016 by Antonio Gutierrez