SOLUTION: I have been given the following question: Find (x,y) assuming that A(3,2), B(6,3), C(x,y), and D(6,5) are the vertices of a parallelogram. I don't even need the answer, I would jus

Algebra ->  Coordinate-system -> SOLUTION: I have been given the following question: Find (x,y) assuming that A(3,2), B(6,3), C(x,y), and D(6,5) are the vertices of a parallelogram. I don't even need the answer, I would jus      Log On


   



Question 786164: I have been given the following question: Find (x,y) assuming that A(3,2), B(6,3), C(x,y), and D(6,5) are the vertices of a parallelogram. I don't even need the answer, I would just love to know how exactly do I solve this? You must use the distance formula somehow? I know AB is parallel to CD and I have to use the distance formula.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Looking at B(6,3) and D(6,5), I have the same +x+
for each, but a different +y+. That makes it a vertical
line and the length is just the difference in the +y+
values, so length = +5+-+3+=+2+
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To be a parallelogram, AC must also be a vertical line
of length = +2+. I know so far that I have
A(3,2) and C(3,y) .
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It looks to me like +y+=+4+ and +y+=+0+
would both work, So,
C(3,4) and C(3,0) would both make the length of
line AC = +2+.
-----------------
Hope I got it