The transformation rule (x, y) ⟶ (y, x) swaps the x and y coordinates of a point. Let's apply this rule to each of the original points of the triangle:
For the point (5, 1), the new point will be (1, 5) because we swapped the x and y coordinates.
For the point (8, 1), the new point will be (1, 8) following the same rule.
For the point (8, 6), the new point will be (6, 8) using the rule.
So, the new points after the transformation are:
(5, 1) ⟶ (1, 5)
(8, 1) ⟶ (1, 8)
(8, 6) ⟶ (6, 8)
These are the new points for the triangle after the transformation.