Question
The point 2, -3 is reflected across the x axis, in what quadrant is the reflected point locatef?
Answers
GPT-4o mini
When a point is reflected across the x-axis, the x-coordinate remains the same while the y-coordinate changes its sign.
For the point (2, -3):
- The x-coordinate is 2 (which remains the same).
- The y-coordinate is -3, which changes to 3 after reflection.
So the reflected point is (2, 3).
Now, let's determine in which quadrant this reflected point lies. The x-coordinate (2) is positive, and the y-coordinate (3) is also positive.
Therefore, the point (2, 3) is located in the **first quadrant**.
For the point (2, -3):
- The x-coordinate is 2 (which remains the same).
- The y-coordinate is -3, which changes to 3 after reflection.
So the reflected point is (2, 3).
Now, let's determine in which quadrant this reflected point lies. The x-coordinate (2) is positive, and the y-coordinate (3) is also positive.
Therefore, the point (2, 3) is located in the **first quadrant**.