Question

What single transformation maps ∆ ABC onto ∆ A ' B ' C '?

A. rotation 90° clockwise about the origin
B. rotation 90° counterclockwise about the origin
C. reflection across the x -axis
D. reflection across the line y = x

Answer 1

The single transformation that maps ∆ABC onto ∆A'B'C' is reflection across the line y = x (Option D). This transformation reflects every point across the line y = x, which means that each corresponding point on ∆ABC will be mapped onto the corresponding point on ∆A'B'C'.

Step-by-step explanation:

The single transformation that maps ΔABC onto ΔA'B'C' is reflection across the line y = x (Option D)

This transformation reflects every point across the line y = x, which means that each corresponding point on ΔABC will be mapped onto the corresponding point on ΔA'B'C'.

For example, point A on ΔABC will be mapped onto point A' on ΔA'B'C', point B will be mapped onto point B', and so on.