Question

If (6,1),(5,y),(x,4) and (7,3) are the vertices of a parallelogram taken in order ,find x and y

Answer 1

Answer:

In a parallelogram midpoints of diagonal bisect each other so,

MIDPOINT OF AC= MIDPOINT OF BD

A= (6,1)

B=(5,y)

C=(x,4)

D=(7,3)

Mid point of AC = (x1+x2)/2 ,(y1+y2)/2

= 6+x, 5

Midopint of BD= 6, y+3

now x=x, y=y

6+x=6

x=0

y+3=5

y=2