Question

The diagram shows a rectangle on a Cartesian plane. $M$ is the midpoint of $PQ$.
The coordinates of $R$ are:

• A. $(9,6)$
• B. $(8,6)$
• C. $(9,1)$
• D. $(10,6)$

Answer 1

The correct option is A $(9,6)$

Let coordinates of 'Q' be

$\Rightarrow (\frac{a+1}{2},\frac{6+2}{2})=(5,2)$

$\Rightarrow (a,6)=(9,2)$

As PQRS is a rectangle $\therefore$ 'O' is midpoint of SQ & PR $\Rightarrow (\frac{9+1}{2},\frac{2+6}{2})=\left(\frac{x+1}{2}\right)\left(\frac{y+2}{2}\right)$

$\Rightarrow \left(xy\right)=(9,6)$