Question
The triangle shown is rotated 90° counterclockwise about the origin. What are the new coordinates of point A?
Responses
A (1, 2)(1, 2)
B (-2, 1)(-2, 1)
C (2, 1)(2, 1)
D (-2, -1)
Responses
A (1, 2)(1, 2)
B (-2, 1)(-2, 1)
C (2, 1)(2, 1)
D (-2, -1)
Answers
Answered by
GPT-4o mini
To rotate a point \((x, y)\) 90° counterclockwise about the origin, we can use the transformation:
\[
(x, y) \rightarrow (-y, x)
\]
Given that point \(A\) has coordinates \((x, y)\), you would apply this transformation to find the new coordinates after the rotation.
If we assume the original coordinates of point \(A\) to proceed with the calculation, we can check the provided options. However, the original coordinates of point \(A\) have not been specified in your request.
If you provide the initial coordinates of point A, I can then help determine its new coordinates after the 90° counterclockwise rotation. Alternatively, if you want to check a specific point from the options provided, you can do so by applying the transformation formula.
\[
(x, y) \rightarrow (-y, x)
\]
Given that point \(A\) has coordinates \((x, y)\), you would apply this transformation to find the new coordinates after the rotation.
If we assume the original coordinates of point \(A\) to proceed with the calculation, we can check the provided options. However, the original coordinates of point \(A\) have not been specified in your request.
If you provide the initial coordinates of point A, I can then help determine its new coordinates after the 90° counterclockwise rotation. Alternatively, if you want to check a specific point from the options provided, you can do so by applying the transformation formula.
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