Answer:
The correct option is;
Triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime negative 1 comma 1, and C prime negative 1 comma negative 3
Step-by-step explanation:
The given parameters are;
The equation of the line t over which ΔABC is reflected is given by y = x
The coordinates of the vertices of ΔABC are given as follows;
A(-1, 1), B(1, -1), and C(-3, -1)
The reflection of a preimage (x, y) across the line y = x gives an image with coordinates at (y, x)
Therefore, the coordinates of the vertices of the image ΔA'B'C' after the reflection of the preimage ΔABC over the line, y = x are given as follows;
Coordinates of preimage → Reflection across y = x → Coordinates of image
A(-1, 1) [tex]{}[/tex] Reflection across the line y = x A'(1, -1)
B(1, -1) [tex]{}[/tex] Reflection across the line y = x B'(-1, 1)
C(-3, -1) [tex]{}[/tex] Reflection across the line y = x C'(-1, -3)
Therefore, the correct option is triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime negative 1 comma 1, and C prime negative 1 comma negative 3.
