2
QuizMultiple Choice

Mapping Figures using Transformations — Quiz

Question 2 • Geometry with Statistics

Quadrilateral G H J K has vertices G 2 comma 3 , H 8 comma 2 , J 6 comma 8 , and K 3 comma 6 It is transformed according to the rule T negative 4 comma negative 5 circ R sub 0 comma 270 degrees What are the coordinates of G double prime ?

Answer
A
negative 2 comma 2
B
negative 7 comma 3
C
negative 1 comma negative 7
D
2 comma negative 2

Explanation

The composition applies the 270° rotation first, then the translation by (−4, −5). A 270° counterclockwise rotation about the origin maps (x, y) to (y, −x), so G(2, 3) becomes (3, −2). Translating gives (3 − 4, −2 − 5) = (−1, −7), which is choice C.

AI-written and checked against the verified answer.

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