Question

the figure below has a point marked with a large dot. first, rotate the figure 270° 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

The marked - point in the original figure has coordinates $(-4,-2)$.

Step2: Apply rotation rule

The rule for a $270^{\circ}$ clock - wise rotation about the origin is $(x,y)\to(y, - x)$.
For the point $(-4,-2)$, substituting $x=-4$ and $y = - 2$ into the rule:
The new $x$ - coordinate is $y=-2$, and the new $y$ - coordinate is $-x=-(-4) = 4$.

Answer:

Point in original figure: $(-4,-2)$
Point in final figure: $(-2,4)$