Q:

Jon performs 3 transformations on a pentagon. First, he reflects it over the x-axis. Then, he translates it 3 units to the left and 4 units up. Finally, he reflects the image over the line x = 1. Are the original and transformed images congruent?A) no; Two reflections will change the size of the original image. B) no; Reflections and translations are fluid motions. Fluid motions change the size of the original image. C) yes; Reflections and translations are rigid motions. Rigid motions preserve the size of the original image. D) yes; Reflections and translations are fluid motions. Fluid motions preserve the size of the original image. Eliminate

Accepted Solution

A:
The correct answer is Choice C. The reason these are rigid motions are because when rigid motions occur, the size and shape of the figure doesn't change.

Reflections, translations, and rotations are all rigid motions.