To find the reflection of the point P(1, 6) on the line x = 1, we can follow these steps:
The line x = 1 is a vertical line that runs through all points where the x-coordinate is equal to 1. This means that any point reflected across this line will have the same x-coordinate but a different y-coordinate.
Since point P is already on the vertical line x = 1 (because its x-coordinate is 1), its reflection across the line will still be at the same x-coordinate.
In this case, the reflection point will have the coordinates:
- x = 1 (the same as the original point)
- y = 6 (also the same as the original point)
Therefore, the reflection of the point P(1, 6) on the line x = 1 is simply:
P'(1, 6)
So, the reflection of point P(1, 6) on the line x = 1 is still P(1, 6).