Reflecting about Y = X and Y = -X (Ver 2)

Here, the Mona Lisa is reflected about the LINE Y = X. Drag points B, C, and the pre-image picture around and observe how her reflection changes.

In the app above, move Lisa around to get different primage points. Then, record their images in the image column.

Take a look at the table of data above. Suppose a point (a, b) is reflected about the line y = x. What would the coordinates of its image be? Express in terms of a and b.

Here, the Mona Lisa is reflected about the LINE Y = -X. Drag points B, C, and the pre-image picture around and observe how her reflection changes.

In the app above, move Lisa around to get different primage points. Then, record their images in the image column.

Take a look at the table of data above. Suppose a point (a, b) is reflected about the line y = -x. What would the coordinates of its image be? Express in terms of a and b.