2
QuizMultiple Choice

Rotations — Quiz

Question 2 • Geometry

A triangle is rotated 90 degrees about the origin. Which rule describes the transformation?

Answer
A
open paren x comma y close paren rightarrow open paren negative x comma negative y close paren
B
open paren x comma y close paren rightarrow open paren negative y comma x close paren
C
open paren x comma y close paren rightarrow open paren y comma negative x close paren
D
open paren x comma y close paren rightarrow open paren negative y comma negative x close paren

Explanation

A 90° rotation about the origin is usually taken to mean counterclockwise. Under this rotation, a point (x,y) moves to (-y,x); for example, (1,0) moves to (0,1). So the correct choice is B, (x,y) → (-y,x).

AI-written and checked against the verified answer.

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