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 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 not congruent. If the sequence of transformations does not include a translation, rotation, and reflection, then the triangles cannot be congruent. 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. 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 has shown that the two triangles are congruent. Sometimes three transformations are not necessary when mapping one triangle onto another triangle

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

In certain cases, it is possible to establish congruence with fewer than three types of transformations, especially if the shape and size of the triangles are maintained through translations and rotations. The presence of overlapping triangles indicates congruence, regardless of whether all three transformation types were used.

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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 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 not congruent. If the sequence of transformations does not include a translation, rotation, and reflection, then the triangles cannot be congruent. 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. 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 has shown that the two triangles are congruent. Sometimes three transformations are not necessary when mapping one triangle onto another triangle

1 answer

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

In certain cases, it is possible to establish congruence with fewer than three types of transformations, especially if the shape and size of the triangles are maintained through translations and rotations. The presence of overlapping triangles indicates congruence, regardless of whether all three transformation types were used.

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GPT-4o mini · Answer

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

In certain cases, it is possible to establish congruence with fewer than three types of transformations, especially if the shape and size of the triangles are maintained through translations and rotations. The presence of overlapping triangles indicates congruence, regardless of whether all three transformation types were used.