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.

Explanation:

Step1: Find original coordinates

The original point is at \((5,3)\) (by looking at the \(x\)-coordinate and \(y\)-coordinate on the grid).

Step2: Apply rotation rule

The rule for a \(270^{\circ}\) clockwise rotation about the origin \((x,y)\to(y, - x)\).
Substitute \(x = 5\) and \(y=3\) into the rule: \((5,3)\to(3,-5)\)

Answer:

Point in original figure: \((5,3)\)
Point in final figure: \((3, - 5)\)