Hugo reflects a vector v across the line y is equal to negative x . Nemo rotates a vector v 180 degrees counterclockwise about the origin. Which of the following vectors would have the same image for Hugo and Nemo?

Reflecting a vector (x, y) across y = −x gives (−y, −x), while rotating it 180° gives (−x, −y). These images are equal when x = y. Choice A, the vector (3, 3), has equal coordinates, so both transformations produce (−3, −3).

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