SOLUTION: Show that A(-2,4),B(2,0),C(2,8) and D(6,4) are the vertices of a square

Question 1121389: Show that A(-2,4),B(2,0),C(2,8) and D(6,4) are the vertices of a square
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Draw this and start with AB, which has slope -1
BD has slope 1, so their product is -1 and they are perpendicular.
DC has slope -1 and CA has slope 1, so they are perpendicular.
Drawing this and labelling it is important, because BC is not along the perimeter of the square but is a diagonal.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the 4 side lengths.
If they're equal, it's a parallelogram.
If they're equal, and one interior angle = 90 degs, it's a square.

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