Question

Three consecutive vertices of a parallelogram are $(1,-2),(3,6)$ and $(5,10)$. The coordinates of the fourth vertex are

• A. $(-3,2)$
• B. $(2,-3)$
• C. $(3,2)$
• D. $(-2,-3)$

Answer 1

Answer: (C)

$(3,2)$

REF.Image

In parallelogram diagonal bisect

so,

$\frac{x+3}{2}=\frac{1+5}{2}\Rightarrow x=3$

$\frac{y+6}{2}=\frac{-2+10}{2}\Rightarrow y=2$