Question

(x, y) → (-y, x) which transformation is represented by the rule? rotation translation reflection dilation

Explanation:

Step1: Recall transformation rules

Translation: shifts (x,y) by (h,k), e.g., (x,y)→(x+h,y+k).
Reflection: flips over axis, e.g., (x,y)→(-x,y) (over y - axis).
Dilation: scales, e.g., (x,y)→(kx,ky), \(k
eq0\).
Rotation: specific angle rules. For 90° counterclockwise: (x,y)→(-y,x).

Step2: Match the given rule

Given rule: \((x,y)\to(-y,x)\). This matches 90° counterclockwise rotation rule. So it's a rotation.

Answer:

A. ROTATION