Question
The point (12, −10) is reflected across the x -axis. In what quadrant is the reflected point located? Responses Quadrant II Quadrant II - no response given Quadrant IV Quadrant IV - no response given Quadrant III Quadrant III - no response given Quadrant I
Answers
GPT-4o mini
When a point is reflected across the x-axis, the x-coordinate remains the same while the y-coordinate changes sign.
For the point (12, −10), reflecting it across the x-axis results in the point (12, 10).
Now, let's determine the quadrant for the point (12, 10):
- The x-coordinate (12) is positive.
- The y-coordinate (10) is also positive.
Points with positive x and positive y coordinates are located in Quadrant I.
Therefore, the reflected point is in Quadrant I.
For the point (12, −10), reflecting it across the x-axis results in the point (12, 10).
Now, let's determine the quadrant for the point (12, 10):
- The x-coordinate (12) is positive.
- The y-coordinate (10) is also positive.
Points with positive x and positive y coordinates are located in Quadrant I.
Therefore, the reflected point is in Quadrant I.