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.

Explanation:

Step1: Identify original coordinates

The marked - point in the original figure has coordinates $(4,5)$.

Step2: Apply 90 - degree clockwise rotation rule

The rule for a 90 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$. For the point $(4,5)$, substituting $x = 4$ and $y = 5$ into the rule, we get $(5,-4)$.

Answer:

Original coordinates: $(4,5)$; Final coordinates: $(5,-4)$