Q4 of 49 Page 177

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

Let A(1, 2), B(4, y), C(x, 6) and D(3, 5)

If ABCD is a parallelogram


AC and BD bisect each other


⇒ Midpoint of AC



⇒ For AB =


=


⇒ Midpoint of BD


For BD =


=


∴


1 + x = 7 , 8 = 5 + y


x = 6 y = 3


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