15
QuizMultiple Choice

Rotations — Quiz

Question 15 • Geometry

One vertex of a polygon is located at (3,−2) After a rotation, the vertex is located at open paren 2 comma 3 close paren Which transformations could have taken place? Choose two correct answers.

Answer
A
cap r sub 0 comma 270 degrees
B
cap r sub 0 comma 90 degrees
C
cap r sub 0 comma 180 degrees
D
cap r sub 0 comma negative 270 degrees
E
cap r sub 0 comma negative 90 degrees

Explanation

A 90° counterclockwise rotation about the origin maps (x, y) to (−y, x). Applying it to (3, −2) gives (2, 3), so choice B works. Rotating −270° is equivalent to rotating 90° counterclockwise, so choice D works too.

AI-written and checked against the verified answer.

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