A graph of the polygon and its image after a reflection over y = x is shown on the coordinate plane in the picture below.
In Mathematics and Euclidean Geometry, a reflection across the line y = x would interchange the x-coordinate and y-coordinate, and this can be modeled by the following transformation rule:
(x, y) → (y, x)
Ordered pair A (2, -1) → Ordered pair A' (-1, 2).
Ordered pair B (-1, 2) → Ordered pair B' (2, -1).
Ordered pair C (2, 3) → Ordered pair C' (3, 2).
Ordered pair D (4, 2) → Ordered pair D' (2, 4).
Complete Question:
Graph the polygon's image after a reflection over y = x.