Question
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
Answers
Answered by
GPT-4o mini
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 \((8, -4)\).
\[
(x, y) \rightarrow (-y, x)
\]
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 \((8, -4)\).
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