SOLUTION: A(-2,0) B(0,2) C(2,0) D(0,-2) prove ABCD is equilateral

Question 163037: A(-2,0) B(0,2) C(2,0) D(0,-2) prove ABCD is equilateral
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll give you a hint to get you started.

An equilateral polygon is simply a polygon with equal sides. So to prove that ABCD is equilateral, simply prove that the distance from A to B equals the distance from B to C. Then prove that the distance from B to C is equal to the distance from C to D. Finally prove that the distance from C to D is equal to the distance from D to A. In other words, show that

AB=BC
BC=CD
CD=AD
AD=AB

This will also show that AB=CD, CD=AB, etc (but this info is not needed)

Once you have done all of this, you can conclude that ABCD is equilateral since it has 4 equal sides.
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