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

Question

Azaria Salas

Mathematics

29 September, 21:54

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

+3

Answers (2)

Know the Answer?

Yuliana Dougherty · Answer 1

a rotation, followed by a translation

A translation followed by two reflections

Jasmine Silva · Answer 2

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.