Which combinations of transformations will always produce congruent figures? check all that apply. a dilation, followed by a rotation a reflection, followed by a dilation a rotation, followed by a translation a translation, then a rotation, followed by a stretch a translation, followed by two reflections

a rotation, followed by a translation ; and a translation, followed by two reflections

Explanation:

The types of transformations that preserve congruence are called isometries, or rigid transformations.

These transformations are:  translations, reflections and rotations.

These only move or turn a figure, but do not change the size of it.

A dilation, however, will stretch or shrink a figure; this does not preserve congruence.

Transformation means there is no change in the size or shape of an object.

A rotation, followed by a translation.

And a translation, followed by two reflections.

Transformation means there is no change in the size or shape of an object.

The following combinations of transformations will always produce congruent figures.

A body that retains its overall shape is known as the Rigid Body, meaning the particle that makes the body remain in a similar position relative to one another.

These transformations are translations, reflections, and rotations.

Hence, a rotation, followed by a translation; and a translation, followed by two reflections.

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