Y=x. Given A(7,-4), B(6,4), and C(-1,-5), what are the coordinates of the vertices of A’B’C for the reflection

The coordinates of the vertices of A'B'C' is:

Step-by-step explanation:

Given the coordinates of the triangle

Reflection in the line y=x

We know that the rule of reflection in the line is y = x is:

(x, y) → (y, x)

Thus,

The coordinates of the vertices of A'B'C' for the reflection in the y = x

(x, y)         →        (y, x)

A(7, -4)     →        A'(-4, 7)

B(6, 4)      →        B'(4, 6)

C(-1, -5)     →       C'(-5, -1)

Thus, the coordinates of the vertices of A'B'C' is: