9
QuizMultiple Choice

Rotations — Quiz

Question 9 • Geometry

A pentagon is transformed according to the rule cap r sub 0 comma 180 degrees Which is another way to state the transformation?

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

Explanation

A 180-degree rotation about the origin sends each point to the point directly opposite it across the origin. Thus both coordinates change signs: (x, y) → (−x, −y), which is choice D.

AI-written and checked against the verified answer.

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