Graph the image of V(0, -2) after a rotation 180° clockwise around the origin.
A) (0, 2)
B) (0, -2)
C) (0, -4)
D) (2, 0)
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To perform a 180° clockwise rotation around the origin, you can use the rule that transforms any point (x, y) to (-x, -y).
For the point V(0, -2):
– The x-coordinate remains the same: 0 becomes -0, which is still 0.
– The y-coordinate changes from -2 to -(-2), which is 2.
So, the image of V(0, -2) after a 180° rotation around the origin is (0, 2).
The correct answer is A) (0, 2).