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

C) Yes; Reflections and translations are rigid motions and rigid motions preserve the size of the original image.

Step-by-step explanation:

We know that, the two rigid transformations used by Jon are:

1. Reflection which flips the image over a line.

2. Translation which shifts the image in any direction.

Since, both these transformations does not change the size of the original image.

So, options A and B are discarded.

Also, we know that these are rigid transformations i.e. both of them preserves the length of the figure and not fluid transformations which changes the length.

So, option D is discarded.

Hence, option C is correct.

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