SOLUTION: show that A(0,0), B(-4,-5), C(3,-4), and D(7,1) are vertices of a parallelogram

Algebra ->  Geometry-proofs -> SOLUTION: show that A(0,0), B(-4,-5), C(3,-4), and D(7,1) are vertices of a parallelogram       Log On


   

Question 934420: show that A(0,0), B(-4,-5), C(3,-4), and D(7,1) are vertices of a parallelogram
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming the parallelogram is ABCD, you need to show that

AB || CD
and
BC || AD

You do so by computing the slopes of AB & CD and seeing if they are equal or not. The same applies for BC & AD.

Note: the two vertical lines "||" means "parallel" (eg: "AB || CD" means "AB is parallel to CD")