Question

rotate point b 90° counterclockwise using (0, 0) as the center of rotation. what are the coordinates of the image of this rotation, point b? original point rotated point a (4, 6) a (-6, 4) b (-6, -4) b ( , )

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point B

Given point $B(-6,-4)$, substituting $x = - 6$ and $y=-4$ into the rule. We get $x'=-(-4)=4$ and $y'=-6$.

Answer:

$(4, - 6)$