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Graph the image of V(−5, −1) after a rotation 270° counterclockwise around the origin.

Graph the image of V(−5, −1) after a rotation 270° counterclockwise around the origin.

1. (−1, 5)
2. (1, 5)
3. (5, 1)
4. (−5, 1)




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1 Answer

  1. To determine the image of the point V(−5, −1) after a rotation of 270° counterclockwise around the origin, we can use the following rotation rule:

    For a rotation of 270° counterclockwise, the coordinates (x, y) transform to (y, -x).

    Applying this to V(−5, −1):
    1. Original point: (−5, −1)
    2. Applying the transformation: (−1, -(-5)) = (−1, 5)

    So, the image of V(−5, −1) after a 270° rotation is (−1, 5).

    The correct answer is Option 1: (−1, 5).

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