Imagine a 90° (counterclockwise) rotation about the origin of the figure in the image. Select the coordinate of D′., The cordinates for D are -4, -8

Answer 1

To perform a 90° counterclockwise rotation about the origin, you can use the following transformation rule for the coordinates (x, y):

\[ (x, y) \rightarrow (-y, x) \]

In this case, the coordinates for point D are \((-4, -8)\).

Applying the transformation:

1. Set \(x = -4\) and \(y = -8\).
2. According to the transformation rule:

\[ D' = (-y, x) = (-(-8), -4) = (8, -4) \]

Thus, the coordinates of \(D'\) after the 90° counterclockwise rotation are \((8, -4)\).