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: Find original coordinates

The original point has \(x = 5\) and \(y = 3\). So, the original coordinates are \((5,3)\).

Step2: Apply rotation rule

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