Question

which transformation does not preserve congruence? dilation rotation reflection translation

Explanation:

Step1: Analyze dilation

Dilation changes the size of a figure. If the scale factor is not \(1\), the size of the figure after dilation is different from the original. Since congruent figures have the same shape and size, dilation does not preserve congruence.

Step2: Analyze rotation

Rotation is a transformation that turns a figure around a fixed point. It only changes the orientation of the figure, not its shape or size. So, rotation preserves congruence.

Step3: Analyze reflection

Reflection is a transformation that flips a figure over a line. It only changes the orientation of the figure, not its shape or size. So, reflection preserves congruence.

Step4: Analyze translation

Translation is a transformation that slides a figure. It only changes the position of the figure, not its shape or size. So, translation preserves congruence.

Answer:

dilation