Transformations that proves the congruence of [tex]\triangle ABC[/tex] and [tex]\triangle DE F[/tex] must be a rigid transformation. The transformation that cannot be used to prove the congruence of [tex]\triangle ABC[/tex] and [tex]\triangle DE F[/tex] is dilation.
Transformations are divided into two (2):
- Rigid transformation
- Non-rigid transformation
A rigid transformation is such that does not change the side lengths of a shape. Examples are reflection, rotation and translation.
A non-rigid transformation is such that changes the side lengths of a shape. An example is dilation.
Because [tex]\triangle ABC[/tex] and [tex]\triangle DE F[/tex] are congruent, dilation cannot be used because the side lengths will not be congruent.
See attachment for an illustration of dilation
Read more about transformations at:
https://brainly.com/question/16619654
