Question

question 11
1 pts
what is the image of (4,2) under a counterclockwise rotation of 90°?
(2, -4)
(0, 0)
(-2, 4)
(-2, -4)

Explanation:

Step1: Recall Rotation Rule

For a counterclockwise rotation of \(90^\circ\) about the origin, the transformation rule is \((x,y)\to(-y,x)\).

Step2: Apply the Rule

Given the point \((4,2)\), here \(x = 4\) and \(y = 2\). Applying the rule, we get \((-y,x)=(-2,4)\).

Answer:

\((-2, 4)\) (corresponding to the option \((-2,4)\))