what are the coordinates of the image of vertex g after a reflection across the line y = x? (-4,-5) (4,5)…

what are the coordinates of the image of vertex g after a reflection across the line y = x? (-4,-5) (4,5) (-5,4) (5,-4) e(3,-3) f(5,-3) h(2,-5) g(4,-5)

what are the coordinates of the image of vertex g after a reflection across the line y = x? (-4,-5) (4,5) (-5,4) (5,-4) e(3,-3) f(5,-3) h(2,-5) g(4,-5)

Answer

Answer:

C. (-5, 4)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the line $y = x$, the coordinates swap. So $(x,y)\to(y,x)$.

Step2: Identify original coordinates of G

The coordinates of vertex G are $(4,-5)$.

Step3: Apply reflection rule

Swapping the $x$ and $y$ - coordinates of G, we get $(-5,4)$.