Question

the figure below has a point marked with a large dot. first, rotate the figure $90^{circ}$ clockwise about the origin. then, give the coordinates of the marked point in the original figure and the final figure. point in original figure: ( , ) point in final figure: ( , )

Explanation:

Step1: Identify original point coordinates

From the grid, the marked point is at $(-4, -1)$.

Step2: Apply 90° clockwise rotation rule

The rule for rotating a point $(x,y)$ 90° clockwise about the origin is $(x,y) \to (y, -x)$. Substitute $x=-4$, $y=-1$:
$\text{New } x = -1, \text{New } y = -(-4) = 4$

Answer:

Point in original figure: $(-4, -1)$
Point in final figure: $(-1, 4)$