The point (-3, -1) is rotated 90° clockwise around center (0,0). What are the coordinates of the transformed point?

Question

The point (-3, -1) is rotated 90° clockwise around center (0,0). What are the coordinates of the transformed point?

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Khải Quang 6 months 2021-07-31T13:01:34+00:00 1 Answers 4 views 0

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    2021-07-31T13:02:56+00:00

    Answer:

    The coordinates of the transformed point are: (-1, 3)

    Step-by-step explanation:

    Given that the point (-3, -1) is rotated 90° clockwise around the center (0, 0).

    Important Tip:

    • In Mathematics, when we rotate a point 90 degrees clockwise direction around the center (0,0), we flip the places of x and y coordinates and reverse the sign of x coordinate.

    Let the coordinates of the point M(x, y).

    Therefore, the general rule to rotate a point 90 degrees clockwise direction around the center (0,0) is:

    M(x, y) → M'(y, -x)

    where M'(y, -x) is the transformed point.

    In our case,

    The point (-3, -1) is rotated 90° clockwise around center (0,0)

    • Let the point (-3, -1) be named P(-3, -1)

    Using the general rule to rotate a point 90 degrees clockwise direction around the center (0,0).

    M(x, y) → M'(y, -x)

    P(-3, -1) → P'(-1, -(-3)) → P'(-1, 3)

    Therefore, the coordinates of the transformed point are: (-1, 3)

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