Question

If (1,2),(4,y) ,(x,6) and(3,5) are the vertices of parallelogram then in order, then find x and y

Answer 1

(1,2),(4,y),(x,6) and (3,5) are vertices of triangle

ABCD is parallelogram

AC and BD will bisect each other.Hence , midpoint of AC and midpoint of BD are same point

BY MIDPOINT FORMULA,

Midpoint formula of Ac and BD

1+x/2 =4+3/2 and 2+6/2 =5+y/2

1+x =7 and 8=5+y

x=6 and y=3

HENCE proved

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