Question

use the image to answer the question
point a is the original point before rotating. which point represents a after a is rotated 90 degrees counterclockwise?

Explanation:

Step1: Find coordinates of A

Point A is at $(4, 1)$ (x=4, y=1).

Step2: Apply 90° counterclockwise rotation formula

The formula for rotating a point $(x, y)$ 90° counterclockwise about the origin is $(x, y) \to (-y, x)$.

Step3: Substitute A's coordinates

For A $(4, 1)$:
New x-coordinate: $-y = -1$
New y-coordinate: $x = 4$
So, A' is at $(-1, 4)$.

Step4: Identify the point

Looking at the graph, point G is at $(-1, 4)$.

Answer:

G (or the point with coordinates (-1, 4))