Use the image to answer the question.

Question

Three images with congruent triangles are side by side. Image 1 has two triangles. Images 2 and 3 have 3 triangles. In all images the corresponding congruent sides are marked.

Georgia is justifying the SSS triangle congruence criteria using △ABC and △LMN (image 1). She transforms the first triangle with a translation to create △A′B′C′ (image 2), followed by a rotation to create △A"B"C" (image 3). She is surprised to see that △A"B"C" overlaps △LMN without having done a reflection. What happened?

(1 point)
Responses

Georgia made a mistake. She should have translated △ABC along the vector that takes point B to point N, then done a reflection, then done a rotation.
Georgia made a mistake. She should have translated triangle upper A upper B upper C along the vector that takes point upper B to point upper N , then done a reflection, then done a rotation.

Georgia made a mistake. She should have done a reflection before the rotation so that her sequence of transformations included all three types of transformations.
Georgia made a mistake. She should have done a reflection before the rotation so that her sequence of transformations included all three types of transformations.

Georgia has shown that the two triangles are congruent. Sometimes three transformations are not necessary when mapping one triangle onto another triangle.
Georgia has shown that the two triangles are congruent. Sometimes three transformations are not necessary when mapping one triangle onto another triangle.

Georgia has shown that the two triangles are not congruent. If the sequence of transformations does not include a translation, rotation, and reflection, then the triangles cannot be congruent.

Answer 1

Georgia has shown that the two triangles are congruent. Sometimes three transformations are not necessary when mapping one triangle onto another triangle.

In the SSS (Side-Side-Side) congruence criterion, when all corresponding sides of two triangles are equal, the triangles are congruent regardless of the order and types of transformations used to map one triangle onto the other. Therefore, the congruence can still be confirmed without needing to perform all three types of transformations (translation, rotation, and reflection).