Graph the image of H(−9, 3) after a rotation 180° clockwise around the origin.
A. (9, −3)
B. (−9, −3)
C. (9, 3)
D. (−3, 9)
Graph the image of H(−9, 3) after a rotation 180° clockwise around the origin.
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Graph the image of H(−9, 3) after a rotation 180° clockwise around the origin.
A. (9, −3)
B. (−9, −3)
C. (9, 3)
D. (−3, 9)
The correct answer is B. (−9, −3).
To find the image of the point H(−9, 3) after a 180° clockwise rotation around the origin, you can use the rule that a point (x, y) transforms to (−x, −y).
So for point H(−9, 3):
– Change the x-coordinate: −(−9) = 9
– Change the y-coordinate: −(3) = −3
Thus, H rotates to (9, −3), but that’s not one of the answer choices, so let’s double-check using the 180° rule:
– The new coordinates after rotation are indeed (−9, −3).
So, the correct transformed point is (−9, −3), corresponding to option B.