SOLUTION: Three vertices of a parallelogram are A(1,3), C(4,11), and B(3,-2). If A and B lie on the same side, what is the fourth vertex? Please help to resolve. Thanks

Question 198334: Three vertices of a parallelogram are A(1,3), C(4,11), and B(3,-2). If A and B lie on the same side, what is the fourth vertex?
Please help to resolve.
Thanks
Answer by anantha(86) (Show Source): You can put this solution on YOUR website!
sol:
4th vertex of a parallelogram of rectangle of rhombus of square whose three consecutive vertices are (x1,y1),(x2,y2),(x3,y3)is(x1+x3-x2,y1+y3-y2)
here the given vertices are A(1,3) ,B(3,-2)andC(4,11)
comparing above vertices with(x1,y1)(x2,y2),(x3,y3)
x1=1,y1=3,x2=3,y2=-2,x3=4,y3=11
now 4th vertex (x4,y4)=(x1+x3-x2,y1+y3-y2)
4th vertex=(1+4-3,3+11-(-2))
=(2,16)
D=(2,16)
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