Question
How does a dilation transformation compare to translations, rotations, and reflections?(1 point)
Responses
All transformations change the size and shape of figures.
All transformations change the size and shape of figures.
Dilation transformations are the only ones that do not maintain the same side lengths.
Dilation transformations are the only ones that do not maintain the same side lengths.
Dilation transformations make figures larger; translations shrink figures.
Dilation transformations make figures larger; translations shrink figures.
All transformations move figures across the coordinate plane.
Responses
All transformations change the size and shape of figures.
All transformations change the size and shape of figures.
Dilation transformations are the only ones that do not maintain the same side lengths.
Dilation transformations are the only ones that do not maintain the same side lengths.
Dilation transformations make figures larger; translations shrink figures.
Dilation transformations make figures larger; translations shrink figures.
All transformations move figures across the coordinate plane.
Answers
GPT-4o mini
The correct response would be:
**Dilation transformations are the only ones that do not maintain the same side lengths.**
Dilation transformations differ from translations, rotations, and reflections in that they change the size of the figure (either enlarging or reducing it) while translations, rotations, and reflections preserve the size and shape of the figure. Translations move figures without changing their size or shape, rotations turn figures around a point without altering their dimensions, and reflections flip figures over a line, again maintaining size and shape. Dilation specifically alters dimensions, thus not maintaining the same side lengths.
**Dilation transformations are the only ones that do not maintain the same side lengths.**
Dilation transformations differ from translations, rotations, and reflections in that they change the size of the figure (either enlarging or reducing it) while translations, rotations, and reflections preserve the size and shape of the figure. Translations move figures without changing their size or shape, rotations turn figures around a point without altering their dimensions, and reflections flip figures over a line, again maintaining size and shape. Dilation specifically alters dimensions, thus not maintaining the same side lengths.