Question

1. which of the following describes a 270-degree counterclockwise rotation?

a. reflect the figure over the x-axis
b. change both coordinates to their opposites
c. swap the coordinates and negate the new x-coordinate
d. swap the coordinates and negate the new y-coordinate

Explanation:

Step1: Recall rotation coordinate rule

A 270° counterclockwise rotation about the origin transforms a point $(x,y)$ to $(y,-x)$.

Step2: Match rule to options

This rule means we first swap the $x$ and $y$ coordinates, then negate the new $y$-coordinate.

Answer:

d. Swap the coordinates and negate the new y-coordinate