3
QuizMultiple Choice

Compositions — Quiz

Question 3 • Geometry

Triangle JKL is transformed using the rule cap r sub cap o comma 90 degrees circ r sub y is equal to negative x open paren x comma y close paren Point cap k of the pre-image is at open paren 4 comma 7 close paren What are the coordinates of point cap k double prime on the final image?

Answer
A
open paren negative 4 comma negative 7 close paren
B
open paren negative 7 comma negative 4 close paren
C
open paren 4 comma negative 7 close paren
D
open paren 4 comma 7 close paren

Explanation

Apply the transformations from right to left. Reflecting point K = (4, 7) across the y-axis gives (-4, 7). A 90° counterclockwise rotation about the origin maps (x, y) to (-y, x), so (-4, 7) becomes (-7, -4). The final coordinates are (-7, -4), choice B.

AI-written and checked against the verified answer.

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