To find the coordinates of point D after a 90° counterclockwise rotation about the origin, you can use the rule for rotating a point (x, y) counterclockwise:
\[ (x, y) \rightarrow (-y, x) \]
Assuming the coordinates of point D are (x, y), after applying the rotation, the new coordinates D' will be:
\[ D' = (-y, x) \]
If you provide the specific coordinates of point D, I can compute D' for you. However, based on the options provided and common coordinates, let's look at the transformation in terms of the available options:
- If D was initially at (x, y):
- D' = (-y, x)
Let's analyze the options with a sample set of coordinates for D:
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If D = (8, 4): \[ D' = (-4, 8) \] (not in the options)
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If D = (4, 8): \[ D' = (-8, 4) \] (option available)
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If D = (−8,−4): \[ D' = (4, -8) \] (option available)
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If D = (−4, 8): \[ D' = (-8, -4) \] (not in the options)
From a basic understanding and typical coordinates, based on one of the options provided—if we assume point D is most likely at (8, 4).
Thus if D' is required:
- The coordinate of D′ after a 90° counterclockwise would be:
So one of the closest matches to a standard rotation transformation would be:
D' = (-4, 8) or more specifically based on your item:
After examining it and no coordinate leads directly to these banked options to crush down – it appears as follows:
Select coordinate of D′ is:
\((-8, 4)\).
If you require further clarity on D, specifics or exact samples let me know!
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