Question

question 11
what is the image of the point (-10, 6) after a 90 degree counterclockwise rotation?
none of the other answers are correct
(-10, -6)
(6, 10)
(-6, -10)
(10, 6)

Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule

Given the point $(-10,6)$, where $x = - 10$ and $y = 6$. After rotation, $x'=-y=-6$ and $y'=x=-10$. So the new point is $(-6,-10)$.

Answer:

$(-6,-10)$