If a with coordinates (4, -3) is rotated 90° clockwise, then rotated 180°, what are the coordinates of P"?Question 6Select one:a.(-3, 4)b.(4, 3)c.(-3, -4)d.(3, 4)
Question
If a with coordinates (4, -3) is rotated 90° clockwise, then rotated 180°, what are the coordinates of P"?Question 6Select one:a.(-3, 4)b.(4, 3)c.(-3, -4)d.(3, 4)
Solution
To solve this problem, we need to understand how rotation works in the coordinate plane.
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First, let's consider the point P with coordinates (4, -3).
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When we rotate a point 90° clockwise, the original x-coordinate becomes the new y-coordinate and the original y-coordinate becomes the negative of the new x-coordinate. So, after a 90° clockwise rotation, the coordinates of P would become (-(-3), 4) or (3, 4).
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Next, we need to rotate this new point 180°. A 180° rotation is equivalent to flipping the point around the origin. This means that both the x and y coordinates change their signs. So, the coordinates of P after a 180° rotation would be -3, -4.
So, the answer is c.(-3, -4).
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