A rectangle with vertices A (-3, 1), B (1, 3), C (2, 1), and D (-2, - 1) is rotated 90° clockwise about the origin and then dilated by a factor of 3 with the origin as the center of dilation to obtain rectangle A′B′C′D′. Which statement about the transformed rectangle A′B′C′D′ is true? The function f (x, y) = (-3y, 3x) models the transformation to obtain rectangle A′B′C′D′, and vertex C′ lies in the first quadrant. The function f (x, y) = (-3y, 3x) models the transformation to obtain rectangle A′B′C′D′, and vertex D′ lies in the second quadrant. The function f (x, y) = (3y, - 3x) models the transformation to obtain rectangle A′B′C′D′, and vertex B′ lies in the fourth quadrant. The function f (x, y) = (3y, - 3x) models the transformation to obtain rectangle A′B′C′D′, and vertex A′ lies in the third quadrant.

Question

Mathematics

Katelynn Wallace

13 February, 00:29

A rectangle with vertices A (-3, 1), B (1, 3), C (2, 1), and D (-2, - 1) is rotated 90° clockwise about the origin and then dilated by a factor of 3 with the origin as the center of dilation to obtain rectangle A′B′C′D′. Which statement about the transformed rectangle A′B′C′D′ is true? The function f (x, y) = (-3y, 3x) models the transformation to obtain rectangle A′B′C′D′, and vertex C′ lies in the first quadrant. The function f (x, y) = (-3y, 3x) models the transformation to obtain rectangle A′B′C′D′, and vertex D′ lies in the second quadrant. The function f (x, y) = (3y, - 3x) models the transformation to obtain rectangle A′B′C′D′, and vertex B′ lies in the fourth quadrant. The function f (x, y) = (3y, - 3x) models the transformation to obtain rectangle A′B′C′D′, and vertex A′ lies in the third quadrant.

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Answers (1)

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Jaiden Yu · Answer 1

The correct answer is, The function f (x, y) = (3y,-3x) models the transformation to obtain the rectangle A'B'C'D', and vertex B' lies in the fourth quadrant.