SOLUTION: Use techniques of Analytic Geomatry to prove that the slope of one diagonal of a rectangle is the negative of the slope of another diagonal

Question 965883: Use techniques of Analytic Geomatry to prove that the slope of one diagonal of a rectangle is the negative of the slope of another diagonal
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let the rectangle have length a and width b.
One vertex is at (,).
One at (,).
One at (,).
One at (,).
The two points that join one diagonal are (,) and (,.
The slope is,

The two points that join the other diagonal are (,) and (,).
That slope is,

.
.
So,

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