Question

graph rectangle mnop with m(-1, -9), n(-2, -5), o(6, -3), p(7, -7), and its image after a reflection in the line y = x. what are the coordinates of o?

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ in the line $y = x$, the coordinates change as $(x,y)\to(y,x)$.

Step2: Apply rule to point $O$

The coordinates of point $O$ are $(6,-3)$. After reflection in the line $y = x$, we swap the $x$ - and $y$ - coordinates. So, $O(6,-3)\to O'(-3,6)$.

Answer:

$(-3,6)$