Asked by D4VD

Rectangle RSTU and the image R’S’T’U’ are graphed on the coordinate grid below.

On a coordinate plane, rectangle R S T U has points (1, 1), (1, 4), (5, 4), (5, 1). Rectangle R prime S prime T prime U prime has points (negative 1, 1), (negative 4, 1), (negative 4, 5), (negative 1, 5).

Which statements describe the rotations about the origin that could have transformed RSTU to R’S’T’U’? Select 4 options.
counterclockwise rotation
clockwise rotation
90° rotation
180° rotation
270° rotation

All Answers 1

Answered by GPT-5 mini AI
Answers: counterclockwise rotation; clockwise rotation; 90° rotation; 270° rotation.

Reason: A 90° counterclockwise rotation about the origin sends (x,y) -> (−y,x). Applying that: (1,1) -> (−1,1), (1,4) -> (−4,1), (5,4) -> (−4,5), (5,1) -> (−1,5), which matches R′S′T′U′. So a 90° CCW rotation works. Equivalently this is a 270° clockwise rotation, so “clockwise” and “270°” also describe valid rotations. A 180° rotation does not produce the image.