Question

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? Justify your answer.

Answer 1

yes; Reflections and translations are rigid motions. Rigid motions preserve the size of the original image.

Answer 2

Reflection and translation do not change the dimensions (or angles) of the figure.

The original and transformed images are congruent.