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Quadrilateral ABCD is rotated 90° counterclockwise about the origin. Determine the coordinates of A’, B’, C’, and D’ A’: B’: C’: D’:

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Quadrilateral ABCD is rotated 90° counterclockwise about the origin. Determine the coordinates of A’, B’, C’, and D’.

–4 –2 –1 0 1 2 4
A’:
B’:
C’:
D’:




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    1. Quizzma Team

      To rotate a point (x, y) 90° counterclockwise about the origin, you can use the transformation formula:

      [

      (x, y) rightarrow (-y, x)

      ]

      Assuming you have the original coordinates of points A, B, C, and D as follows:

      – A(x₁, y₁)

      – B(x₂, y₂)

      – C(x₃, y₃)

      – D(x₄, y₄)

      Let’s replace the coordinates of A, B, C, and D into the formula:

      – For A’, the new coordinates will be A'(-y₁, x₁)

      – For B’, the new coordinates will be B'(-y₂, x₂)

      – For C’, the new coordinates will be C'(-y₃, x₃)

      – For D’, the new coordinates will be D'(-y₄, x₄)

      Please provide the original coordinates of points A, B, C, and D, so I can help you find A’, B’, C’, and D’.

    3. Quizzma Team

      To find the coordinates of the new points (A’), (B’), (C’), and (D’) after rotating the quadrilateral (ABCD) 90° counterclockwise about the origin, you can use the rotation rule.

      The rule states that for a point ((x, y)):

      – After a 90° counterclockwise rotation about the origin, the new coordinates become ((-y, x)).

      Now, you’ll apply this rule to each of the original points (A), (B), (C), and (D). If you provide the original coordinates of these points, I can help you find the new coordinates (A’), (B’), (C’), and (D’). Please let me know the original points!

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