Question

1. building on the essential question why do translations, reflections, and rotations create congruent images?

Explanation:

Translations (sliding), reflections (flipping), and rotations (turning) are rigid - motion transformations. These transformations preserve the side - lengths and angle - measures of a figure. Since congruent figures have the same side - lengths and angle - measures, translations, reflections, and rotations create congruent images.

Answer:

Translations, reflections, and rotations are rigid - motion transformations that preserve side - lengths and angle - measures, thus creating congruent images.