Question

what is the relationship between the coordinates of a point and the coordinates of its reflection across each axis?

Answer 1

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite. The reflection of the point (x, y) across the y-axis is the point (-x, y). When you reflect a point across the line y = x, the x-coordinate and the y-coordinate change places.