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: (4, 1) point in final figure: (, )

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 90 - degrees clockwise about the origin, the new coordinates $(x',y')$ are given by $(y, - x)$.

Step2: Apply the rule

The original point is $(4,1)$. Here $x = 4$ and $y = 1$. Using the rule $(y,-x)$, we get $x'=1$ and $y'=-4$.

Answer:

$(1, - 4)$