SOLUTION: how would you find the missing point of a parallelogram on the coordinate plane if you are given 3 of the points? just give me directions, and i'll carry out the problem. please an

Algebra ->  Algebra  -> Parallelograms -> SOLUTION: how would you find the missing point of a parallelogram on the coordinate plane if you are given 3 of the points? just give me directions, and i'll carry out the problem. please an      Log On

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Question 74673This question is from textbook
: how would you find the missing point of a parallelogram on the coordinate plane if you are given 3 of the points? just give me directions, and i'll carry out the problem. please and thanks :)This question is from textbook

Answer by josmiceli(6784) About Me  (Show Source):
You can put this solution on YOUR website!
(1) If the given points are
(x%5B1%5D,y%5B1%5D)
(x%5B2%5D,y%5B2%5D) (the middle point)
(x%5B3%5D,y%5B3%5D)
Find the slopes of 2 adjacent sides using
m%5B1%5D+=+%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29
m%5B2%5D+=+%28y%5B3%5D+-+y%5B2%5D%29+%2F+%28x%5B3%5D+-+x%5B2%5D%29
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(2) Find (x%5B4%5D,y%5B4%5D) using
m%5B1%5D+=+%28y%5B4%5D+-+y%5B3%5D%29+%2F+%28x%5B4%5D+-+x%5B3%5D%29
m%5B2%5D+=+%28y%5B4%5D+-+y%5B1%5D%29+%2F+%28x%5B4%5D+-+x%5B1%5D%29
(These are 2 equations with 2 unknowns)
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If you draw the parallelogram and label points and
label the parallel sides m1 and m2, this should make sense.