SOLUTION: The coordinates of a square are A(-1,6), B(1,3), C(-1,0), and D(-3,3). How would you prove the square to be a square using a coordinate proof (with distance formula, etc.) How

Question 586384: The coordinates of a square are A(-1,6), B(1,3), C(-1,0), and D(-3,3).
How would you prove the square to be a square using a coordinate proof (with distance formula, etc.)
How would you find the area? It cannot be by just counting, some math must be involved (would you use distance formula?)
Thanks!
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Show that the two lines AB and CD are parallel
Show that AD and BC are parallel.
Show that AB and AD are perpendicular (form right angles)
Show that BC and BD are perpendicular (form right angles.
Show that all the line segments are equal length (sqrt(13) or 3.60555

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