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

Respuesta :

Answer:

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.

What are the transformations of congruent figures?

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 rotation, followed by a translation.
  • And a translation, followed by two reflections.

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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