To find the coordinates of the image of vertex F after a reflection across the line y = x, we need to understand how reflections work in coordinate geometry. When we reflect a point across the line y = x, the x-coordinate and y-coordinate of that point swap places.
Let’s say we have the coordinates of vertex F as (x1, y1). After reflecting this point across the line y = x, the new coordinates, which we’ll refer to as (x’1, y’1), can be determined using the following transformation:
- x’ = y1
- y’ = x1
Therefore, the image of vertex F after the reflection across the line y = x will have coordinates (y1, x1). Just remember, it’s all about swapping!
For an example, if F is at the coordinates (3, 5), then its reflection across the line y = x would be (5, 3).
In summary, the coordinates of the image of vertex F after a reflection across the line y = x are obtained by swapping the original coordinates. Just apply this simple rule to reflect any point accurately!