Question
Which of these three transformations can result in a figure that is NOT congruent to its pre-image, if any?
dilation
reflection
translation
All transformations will result in a congruent image.
dilation
reflection
translation
All transformations will result in a congruent image.
Answers
GPT-5 mini
Dilation.
Explanation: Reflection and translation are rigid motions (isometries) that preserve distances, so their images are always congruent to the pre-image. A dilation changes lengths by the scale factor (unless the factor is 1), so a dilation with scale factor ≠ 1 produces a non-congruent image.
Explanation: Reflection and translation are rigid motions (isometries) that preserve distances, so their images are always congruent to the pre-image. A dilation changes lengths by the scale factor (unless the factor is 1), so a dilation with scale factor ≠ 1 produces a non-congruent image.