Question

determine whether each transformation preserves or does not preserve distance. preserves distance does not preserve distance translation reflection rotation dilation which of the following shows a transformation that does not preserve distance? * 25 points a b c d

Explanation:

Translation, reflection, and rotation are rigid - motions. Rigid - motions preserve distance. Dilation is a non - rigid transformation that changes the size of a figure, thus it does not preserve distance. In the multiple - choice part, the figure showing a dilation (a smaller or larger version of the original figure) is the one that does not preserve distance.

Answer:

Translation: Preserves Distance
Reflection: Preserves Distance
Rotation: Preserves Distance
Dilation: Does Not Preserve Distance
A. (If A is not a dilation) Does not show a non - distance - preserving transformation
B. (If B is a dilation) Shows a transformation that does not preserve distance
C. (If C is not a dilation) Does not show a non - distance - preserving transformation
D. (If D is not a dilation) Does not show a non - distance - preserving transformation
(Assuming the figure in option B is a dilation, the answer for the multiple - choice part is B)