Question

△fgh is rotated 90° counterclockwise around the origin to form △fgh. which coordinate is the same as the x-coordinate of point g? x-coordinate of point g; y-coordinate of point g; opposite of x-coordinate of point g; opposite of y-coordinate of point g. (chart with points: g(-2, -4), g(4, -2), f, h, f, h)

Explanation:

Step1: Identify G's coordinates

From the graph, $G(-2, -4)$, so $y$-coordinate of $G$ is $-4$.

Step2: Check G'’s x-coordinate

Given $G'(4, -2)$, its $x$-coordinate is $4$.

Step3: Relate values

Opposite of $G$'s $y$-coordinate: $-(-4) = 4$, which equals $G'$'s $x$-coordinate.

Answer:

D. Opposite of y-coordinate of point G