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The point (-2,-3) is rotated 180 degrees counterclockwise about the origin. What is the y-coordinate of the resulting image

2 Answers

9 votes

Final answer:

The y-coordinate of the point (-2,-3) after a 180-degree counterclockwise rotation about the origin will be 3.

Step-by-step explanation:

When a point is rotated 180 degrees about the origin, its coordinates are inverted. This means both the x-coordinate and y-coordinate of the point switch signs. The point (-2,-3) will become (2,3) when rotated 180 degrees counterclockwise about the origin. Therefore, the y-coordinate of the resulting image will be 3.

User Lorenzo R
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4.4k points
12 votes
The rotated point is (2, 3) so the y-coordinate is 3

The direction of rotation is not relevant as going clockwise results in the same location.
User Daniel Westendorf
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4.1k points