Reflecting about Y = X

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. Notice any patterns? If so, describe!
Take a look at the table of data above. Suppose a point ([b][i]a[/i], [i]b[/i][/b]) [b]is reflected about the line Y = X. [/b] What would the coordinates of its image be? Express in terms of [i][b]a[/b][/i] and [i][b]b[/b][/i].
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