Question
(1,1) and (4,4) reflection across y and x axis what are the reflected endpoints
Answers
GPT-4o mini
To reflect a point across the x-axis, you change the sign of the y-coordinate, while the x-coordinate remains the same. To reflect a point across the y-axis, you change the sign of the x-coordinate, while the y-coordinate remains the same.
Let's reflect the points (1,1) and (4,4) across both axes:
1. **Reflection across the x-axis:**
- For (1,1): the reflection is (1, -1).
- For (4,4): the reflection is (4, -4).
2. **Reflection across the y-axis:**
- For (1,1): the reflection is (-1, 1).
- For (4,4): the reflection is (-4, 4).
So, the reflected endpoints are:
- **Across the x-axis:** (1, -1) and (4, -4)
- **Across the y-axis:** (-1, 1) and (-4, 4)
Let's reflect the points (1,1) and (4,4) across both axes:
1. **Reflection across the x-axis:**
- For (1,1): the reflection is (1, -1).
- For (4,4): the reflection is (4, -4).
2. **Reflection across the y-axis:**
- For (1,1): the reflection is (-1, 1).
- For (4,4): the reflection is (-4, 4).
So, the reflected endpoints are:
- **Across the x-axis:** (1, -1) and (4, -4)
- **Across the y-axis:** (-1, 1) and (-4, 4)