SOLUTION: In square ABCD, diagonal AC has a slope of -2/5. what is the slope of diagonal BD?

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Question 404734: In square ABCD, diagonal AC has a slope of -2/5. what is the slope of diagonal BD?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
the two diagonals in a square are at right+angles to each other;
hence if one diagonal has a slope+=+-+%28+2%2F5+%29, the other must have slope+=+%2B+%28+5%2F2+%29
Explanation:
We know that if+two+lines are at right angles to each other, product of their slopes must be equal to %28+-+1+%29.
check:
-%282%2F5%29%28+5%2F2+%29=%28-%282%2A5%29%29%2F%285%2A2%29+=+-10%2F10=-1

hence slope of the other diagonal +BD+=+5%2F2