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Cut-the-Knot-Action (3)!

Author:
Tim Brzezinski
Topic:
Angles, Straight Lines, Quadrilaterals
Creation of this applet was inspired by a tweet from Alexander Bogomolny (cut-the-knot.org). Note: This applet does not work perfectly under all circumstances. It works best if the quadrilateral (to be formed) remains convex and if point K lies outside the quadrilateral. How can you formally prove what this applet informally illustrates?

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