Question
The point 2, -3 is reflected across the x axis, in what quadrant is the reflected point located if the point was located in quadrant 4
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.
Given the point \( (2, -3) \):
- The x-coordinate is \( 2 \).
- The y-coordinate is \( -3 \).
Reflecting across the x-axis:
- The new y-coordinate will be \( 3 \) (since we change the sign of \(-3\)).
So the reflected point is \( (2, 3) \).
Now, let's determine the quadrant of the reflected point \( (2, 3) \):
- The x-coordinate \( 2 \) is positive.
- The y-coordinate \( 3 \) is positive.
Since both coordinates are positive, the point \( (2, 3) \) is located in **Quadrant I**.
Given the point \( (2, -3) \):
- The x-coordinate is \( 2 \).
- The y-coordinate is \( -3 \).
Reflecting across the x-axis:
- The new y-coordinate will be \( 3 \) (since we change the sign of \(-3\)).
So the reflected point is \( (2, 3) \).
Now, let's determine the quadrant of the reflected point \( (2, 3) \):
- The x-coordinate \( 2 \) is positive.
- The y-coordinate \( 3 \) is positive.
Since both coordinates are positive, the point \( (2, 3) \) is located in **Quadrant I**.