Answer:
option A) is correct.
Step-by-step explanation:
As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.
So the formula about the reflection across [tex]y=-x[/tex] will be:
(x, y) ⇒ (-y, -x)
From the graph, the vertices of the triangle are:
As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:
(x, y) ⇒ (-y, -x)
- U(-5, -2) ⇒ (-y, -x) = U' (2, 5)
- T(-3, -3) ⇒ (-y, -x) = T' (3, 3)
- V(-5, -5) ⇒ (-y, -x) = V' (5, 5)
So, the vertices of U', T' and V' will be:
Therefore, option A) is correct.
