Triangle RST has vertices cap r times open paren 2 comma 0 close paren , cap s times open paren 4 comma 0 close paren , and cap t times open paren 1 comma negative 3 close paren The image of triangle RST after a rotation has vertices cap r prime times open paren 0 comma negative 2 close paren , cap s prime times open paren 0 comma negative 4 close paren , and cap t prime times open paren negative 3 comma negative 1 close paren Which rule describes the transformation?
Answer
A
cap r sub 0 comma 360 degrees
B
cap r sub 0 comma 90 degrees
C
cap r sub 0 comma 270 degrees
D
cap r sub 0 comma 180 degrees
Explanation
A 90° clockwise rotation about the origin follows the rule (x, y) → (y, −x), which is the same as a 270° counterclockwise rotation. Applying it to R(2, 0) gives (0, −2), and applying it to T(1, −3) gives (−3, −1), matching the image vertices. So the transformation is a 270° rotation about the origin: choice C.
AI-written and checked against the verified answer.