Question

Which sequence of a transformation will result in an image that maps onto itself? A) rotate 180 degrees counterclockwise and then reflect across the x axis b) reflect over the y axis and then reflect over the x axis c) rotate 180 degrees counterclockwise and then reflect across the y axis d) reflect over the y axis and then reflect again over the y axis

Answer 1

The correct answer is:

D) reflect over the y axis and then reflect again over the y axis.

Explanation:

Logically, if we reflect a figure across the y-axis and then reflect across the y-axis again, we have undone what we originally did, and the figure is back in its original position.

Algebraically, reflecting across the y-axis maps every point (x, y) to (-x, y). Reflecting this point across the y-axis maps (-x, y) to (x, y); this is our original point.

Answer 2

The question is asking to choose among the following that state the sequence of a transformation will result in an image that maps onto itself, base on my research and further analysis, the answer would be d) reflect over the y axis and then reflect again over the y axis. I hope you are satisfied with my answer