Question

The diagram is on a Cartesian plane.
If the midpoints of $PQ$ and $RS$ are the same, the coordinates of $S$ are:

• A. $(0,2)$
• B. $(3,4)$
• C. $(0,6)$
• D. $(2,0)$

Answer 1

The correct option is A $(0,2)$

Let ${}^{\prime }{x}^{\prime }$ is mid point of $PQ$ and $RS$

and $s(x,y)$ abd ${}^{\prime }{x}^{\prime }$ has $(a,b)$ coordinates and

$P(-2,6)$ ; $Q(4,2)$ ; $R(2,6)$

$\Rightarrow (\frac{-2+4}{2},\frac{6+2}{2})=(a,b)(\frac{x+2}{2},\frac{y+6}{2})\Rightarrow x=0andy=2$