Ernie says that given any two triangles with all corresponding sides congruent, he only has to use translations and rotations to show that the SSS congruence criteria derives from the definition of congruence in terms of rigid motion. Is Ernie correct? Explain.(1 point)

Responses

Ernie is correct, since rotations will always need to be used to show this.
Ernie is correct, since rotations will always need to be used to show this.

Ernie is correct, since translations and rotations are the only rigid motions.
Ernie is correct, since translations and rotations are the only rigid motions.

Ernie is incorrect, since he might have to use a reflection as well depending on the pair of triangles.
Ernie is incorrect, since he might have to use a reflection as well depending on the pair of triangles.

Ernie is incorrect, since rotations will never need to be used. He only needs translations to show this.

1 answer

Ernie is incorrect, since he might have to use a reflection as well depending on the pair of triangles. Reflection is also a type of rigid motion that can be used to show congruence between triangles.
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