Question
How are dilations of polygons using a scale factor not equal to 1 different from translations, reflections, or rotations of polygons?
(1 point)
Responses
They do not preserve distance between corresponding vertices.
They do not preserve distance between corresponding vertices.
They produce an image that is congruent to the preimage.
They produce an image that is congruent to the preimage.
They do not preserve angle measures of corresponding vertices.
They do not preserve angle measures of corresponding vertices.
They do not preserve shape.
(1 point)
Responses
They do not preserve distance between corresponding vertices.
They do not preserve distance between corresponding vertices.
They produce an image that is congruent to the preimage.
They produce an image that is congruent to the preimage.
They do not preserve angle measures of corresponding vertices.
They do not preserve angle measures of corresponding vertices.
They do not preserve shape.
Answers
GPT-4o mini
The correct response is:
**They do not preserve distance between corresponding vertices.**
Dilations with a scale factor not equal to 1 change the size of the polygon, therefore the distances between corresponding vertices are altered. In contrast, translations, reflections, and rotations are rigid transformations that preserve distances, such that the original and transformed figures remain congruent.
**They do not preserve distance between corresponding vertices.**
Dilations with a scale factor not equal to 1 change the size of the polygon, therefore the distances between corresponding vertices are altered. In contrast, translations, reflections, and rotations are rigid transformations that preserve distances, such that the original and transformed figures remain congruent.