Question

the figure below has a point marked with a large dot. first, rotate the figure 90° 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

Locate the marked dot on the grid: it is at $(5, 1)$.

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 $x=5$, $y=1$:
$\text{New } x = 1, \text{New } y = -5$

Answer:

Point in original figure: $(5, 1)$
Point in final figure: $(1, -5)$