Trapezoid ABCD is reflected over the line y = x. What rule shows the input and output of the reflection, and what is the new coordinate of A'? Trapezoid ABCD is shown. A is at negative 5, 1. B is at negative 4, 3. C is at negative 2, 3. D is at negative 1, 1. (x, y) ? (y, ?x); A' is at (1, 5) (x, y) ? (y, x); A' is at (1, ?5) (x, y) ? (?x, y); A' is at (5, 1) (x, y) ? (?x, ?y); A' is at (5, ?1)
Accepted Solution
A:
Answer: (x, y) ⇒ (y, x)A'(1, -4), B'(3, -4), C'(3, -2), D'(1, -1)Step-by-step explanation:Reflection across the line y=x swaps the x- and y-coordinates. A(-5, 1) becomes A'(1, -5), for example. The coordinates of the other points are swapped in similar fashion.