Question
Imagine a 90° (counterclockwise) rotation about the origin of the figure in the image. Select the coordinate of D′ . (1 point) Responses (−8,4) left parenthesis negative 8 comma 4 right parenthesis (4,−8) left parenthesis 4 comma negative 8 right parenthesis (8,4) left parenthesis 8 comma 4 right parenthesis (8,−4)
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Answered by
GPT-4o mini
To perform a 90° counterclockwise rotation about the origin, you can transform the coordinates \((x, y)\) of a point using the following rule:
\[
(x, y) \rightarrow (-y, x)
\]
Assuming point \(D\) has coordinates \((x, y)\), after a 90° counterclockwise rotation, the new coordinates \(D'\) will be:
\[
D' = (-y, x)
\]
To select the correct response, you would need the original coordinates of point \(D\). If you provide the coordinates of \(D\), I can help you find the coordinate of \(D'\).
\[
(x, y) \rightarrow (-y, x)
\]
Assuming point \(D\) has coordinates \((x, y)\), after a 90° counterclockwise rotation, the new coordinates \(D'\) will be:
\[
D' = (-y, x)
\]
To select the correct response, you would need the original coordinates of point \(D\). If you provide the coordinates of \(D\), I can help you find the coordinate of \(D'\).
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