Question

Rotation 90° clockwise about the origin U(1, -2), W(0, 2), K(3, 2), G(3, -3). What are the new coordinates for the parallelogram?

a) U'(-2, 1), W(-2, 0), K(-2, 3), G(3, 3)
b) U(2, 1), W(2, 0), K(2, -3), G(-3, -3)
c) U'(-1, 2), W(-2, 0), K(-3, -2), G(3, 3)
d) U(1, -2), W(0, 2), K(3, 2), G(3, -3)

Answer 1

The question asks for the new coordinates of a parallelogram after a 90° clockwise rotation about the origin. The correct coordinates are U'(-2, -1), W'(2, 0), K'(2, -3), G'(3, 3). However, these are not listed in the provided options.

Step-by-step explanation:

The question is about performing a 90° clockwise rotation of a parallelogram with vertices U(1, -2), W(0, 2), K(3, 2), G(3, -3) about the origin. The formula for rotating a point (x, y) 90° clockwise around the origin is to transform it to (y, -x). Using this formula:

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• For U(1, -2), the new coordinates U' after rotation would be (-2, -1).
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• For W(0, 2), the new coordinates W' would be (2, 0).
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• For K(3, 2), the new coordinates K' would be (2, -3).
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• For G(3, -3), the new coordinates G' would be (3, 3).

So, the correct answer for the new coordinates of the parallelogram after the rotation is U'(-2, -1), W'(2, 0), K'(2, -3), G'(3, 3), which is not listed among the provided options.