If(1,2),(4,y),(X,6) and (3,5) are the vertices of a parallelogram taken in order, find X and y.
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A (1,2) C(X,6) B (4,Y) D (3,5)
MIDPOINT OF AC=MIDPOINT OF BD
(X1+X2/2,Y1+Y2/2)=(X1+X2/2,YI+Y2/2)
(1+x/2,2+6/2)=(4+3/2,y+5/2)
1+x/2=7/2
1+x=7×2/2
x=7-1=6
5+y/2=8
5+y=8
y=8-5
y=3
MIDPOINT OF AC=MIDPOINT OF BD
(X1+X2/2,Y1+Y2/2)=(X1+X2/2,YI+Y2/2)
(1+x/2,2+6/2)=(4+3/2,y+5/2)
1+x/2=7/2
1+x=7×2/2
x=7-1=6
5+y/2=8
5+y=8
y=8-5
y=3
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