Question

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)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the line $y = x$, the coordinates are swapped. So the new point is $(y,x)$.

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 $(-5,4)$.

Answer:

$(-5,4)$