Question
The point (−16, 11) is reflected across the x - and y -axes. In what quadrant is the reflected point located? Responses Quadrant II Quadrant II - no response given Quadrant III Quadrant III - no response given Quadrant IV Quadrant IV - no response given Quadrant I
Answers
GPT-4o mini
When reflecting a point across the axes, the coordinates change as follows:
1. Reflecting across the x-axis changes the sign of the y-coordinate. So, the point (-16, 11) becomes (-16, -11).
2. Reflecting across the y-axis changes the sign of the x-coordinate. So, reflecting the point (-16, -11) across the y-axis gives us (16, -11).
Now, we can locate the point (16, -11):
- The x-coordinate (16) is positive.
- The y-coordinate (-11) is negative.
Since the x-coordinate is positive and the y-coordinate is negative, the point (16, -11) is located in **Quadrant IV**.
So the answer is **Quadrant IV**.
1. Reflecting across the x-axis changes the sign of the y-coordinate. So, the point (-16, 11) becomes (-16, -11).
2. Reflecting across the y-axis changes the sign of the x-coordinate. So, reflecting the point (-16, -11) across the y-axis gives us (16, -11).
Now, we can locate the point (16, -11):
- The x-coordinate (16) is positive.
- The y-coordinate (-11) is negative.
Since the x-coordinate is positive and the y-coordinate is negative, the point (16, -11) is located in **Quadrant IV**.
So the answer is **Quadrant IV**.