SOLUTION: Plz solve this for me_ show that the points -2+i,-3+5i,1+14i,2+10i representing a parallelogram.

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Question 719101: Plz solve this for me_
show that the points -2+i,-3+5i,1+14i,2+10i representing a parallelogram.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
A=-2%2Bi
B=-3%2B5i
C=1%2B14i
D=2%2B10i
B-A=-3%2B5i-%28-2%2Bi%29=-3%2B5i%2B2-i=-1%2B4i represents side AB
C-D=1%2B14i-%282%2B10i%29=1%2B14i-2-10i=-1%2B4i represents side DC
As they are the same, it means that the sides are parallel and congruent, which means ABCD is a parallelogram.