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Square from four points (Posted on 2013-01-08) Difficulty: 3 of 5

Given four points A, B, C, and D.

Construct a square PQRS such that the points A, B, C, and D lie on lines
PQ, QR, RS, and SP respectively
or
describe the configuration of the four points where the construction is not possible.

Note: Don't confuse lines (of infinite extent) with sides (of finite extent).

See The Solution Submitted by Bractals    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
When it's not possible. Comment 5 of 5 |
I cannot find any configuration where the construction is not possible as long as the points are distinct.  I'm pretty sure it always will be. 

In the formulas I gave it is possible that the equation for m might have zero in the denominator.  But this just indicates the line is vertical.

  Posted by Jer on 2013-01-10 11:27:52
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