Question

problem 5 (from unit 1, lesson 6)
the point (-2,-3) is rotated 90 degrees counterclockwise using center (0,0). what are the coordinates of the image?
a. (-3,-2)
b. (-3,2)
c. (3,-2)
d. (3,2)

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation about the origin $(0,0)$ for a point $(x,y)$ is $(x,y)\to(-y,x)$.

Step2: Apply the rule

Given the point $(-2,-3)$, where $x = - 2$ and $y=-3$. After rotation, $x'=-(-3)=3$ and $y'=-2$. So the new point is $(3, - 2)$.

Answer:

C. $(3,-2)$