Question
How do I find what the reflection across an axis equals? Example Reflection across x = ?
Answers
GPT 3.5
To find the reflection across an axis, you can simply change the sign of the corresponding axis.
For example, the reflection across the x-axis would mean changing the sign of the y-coordinate. So, if a point has coordinates (x, y), the reflected point would have coordinates (x, -y).
Similarly, the reflection across the y-axis would mean changing the sign of the x-coordinate. So, if a point has coordinates (x, y), the reflected point would have coordinates (-x, y).
In general, the reflection across the x-axis can be represented as (x, y) -> (x, -y), and the reflection across the y-axis can be represented as (x, y) -> (-x, y).
For example, the reflection across the x-axis would mean changing the sign of the y-coordinate. So, if a point has coordinates (x, y), the reflected point would have coordinates (x, -y).
Similarly, the reflection across the y-axis would mean changing the sign of the x-coordinate. So, if a point has coordinates (x, y), the reflected point would have coordinates (-x, y).
In general, the reflection across the x-axis can be represented as (x, y) -> (x, -y), and the reflection across the y-axis can be represented as (x, y) -> (-x, y).