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Square Passing through Four Points

Given four points, you can always find a square such that its sides (possibly extended) pass through them. This square is not unique and sometimes is of size 0.

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"Square Passing through Four Points" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/SquarePassingThroughFourPoints/
Contributed by: Jaime Rangel-Mondragon
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Related Curriculum Standards

Common Core State Standards for Mathematics
 
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