Graph the image of square TU VW after a rotation 270° clockwise around the origin.
A) (5, -6), (5, -2), (9, -2), (9, -6)
B) (-6, 5), (-2, 5), (-2, 9), (-6, 9)
C) (6, 5), (2, 5), (2, 9), (6, 9)
D) (-5, 6), (-2, 6), (-2, 2), (-5, 2)
Graph the image of square TU VW after a rotation 270° clockwise around the origin.
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To find the image of square TU VW after a 270° clockwise rotation around the origin, we can follow these steps:
1. Understand the 270° rotation: A 270° clockwise rotation is equivalent to a 90° counterclockwise rotation. The rotation changes coordinates (x, y) to (-y, x).
2. Apply the rotation to each vertex of square TU VW: If we assume the square has vertices at certain coordinates, we would apply the rotation to each coordinate point to find its new position.
3. Identify the correct option: After applying this transformation to all vertices, we can match the coordinate results with the given options.
For example, let’s assume square TU VW has vertices at (x1, y1), (x2, y2), (x3, y3), and (x4, y4). After rotation, we would get new coordinates, which would allow us to select the correct answer based on those transformations.
Without specific coordinates for TU VW, I can’t proceed to the exact answer. However, reviewing each option will help you determine the correct transformed coordinates through the rotation logic discussed.
Please check the coordinates given for square TU VW, apply the rotation, and then see which option matches the new coordinates! If you want to dive deeper into this concept, feel free to look at extended resources for more help.