Question

If an image is to be reflected in the line y = x and the x-axis, does the order of the reflections affect the final image? Explain.

Answer 1

Answer:

Affects

Step-by-step explanation:

Consider point (2,-1).

1. Reflect it in the line y=x, then the image point will have coordinates (-1,2). Now reflect it in the x-axis, then the image point will have coordinates (-1,-2).

2. Reflect the point (2,-1) in the x-axis. Its image is point (2,1). Reflect this point in the line y=x, then its image will be point (1,2).

Since images in 1st case and 2nd case differ, the order affects the final image.