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Option B: a counterclockwise rotation of 90° about the origin
Explanation:
From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)
The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)
<u>Option B: a counterclockwise rotation of 90° about the origin </u>
The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by
Let us substitute the coordinates of the figure A
Thus, we have,
Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.
Therefore, the figure is a counterclockwise rotation of 90° about the origin .
Hence, Option B is the correct answer.