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

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’.

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!