Answer: D
Step-by-step explanation:
(4,-2) is located in the fourth quadrant and to think about it, if you rotates it 90 degrees clockwise it will be located in the third quadrant and another 90 degrees it will be located in the second quadrant. And the the second quadrant is the opposite of the fourth quadrant so you will have to find the opposite of the numbers. The opposite of 4 is -4 and the opposite of -2 is 2 so you will have the new coordinates (-4,2)
rotating (4,-2) 180 degrees will be (-4,2)
The image of the point (4,-2) under a rotation 180 degrees about the origin is (-4, 2).
The point about which the object is rotated is the point of rotation. The amount of rotation measured in degrees is called the angle of rotation.
(4, -2) is located in the fourth quadrant and to think about it, if you rotates it 90 degrees clockwise it will be located in the third quadrant and another 90 degrees it will be located in the second quadrant.
And the second quadrant is the opposite of the fourth quadrant so you will have to find the opposite of the numbers.
The opposite of 4 is -4 and the opposite of -2 is 2 so you will have the new coordinates (-4, 2) rotating (4, -2) 180 degrees will be (-4, 2).
Thus, the image of the point (4,-2) under a rotation 180 degrees about the origin is (-4, 2).
Find out more information about point of rotation here
https://brainly.com/question/16641830
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