Question

classify the following transformations as a rigid motion or a non - rigid motion. rotation dilation reflection translation rigid motion non - rigid motion both rigid motion and non - rigid motion neither rigid motion nor non - rigid motion

Explanation:

Step1: Recall rigid - motion definition

Rigid motion preserves distances and angles.

Step2: Analyze Rotation

Rotation turns a figure around a point and preserves distances and angles, so it is a rigid motion.

Step3: Analyze Dilation

Dilation changes the size of a figure by a scale factor. Since it changes distances (lengths of segments), it is a non - rigid motion.

Step4: Analyze Reflection

Reflection flips a figure over a line and preserves distances and angles, so it is a rigid motion.

Step5: Analyze Translation

Translation slides a figure and preserves distances and angles, so it is a rigid motion.

Answer:

Rotation: rigid motion
Dilation: non - rigid motion
Reflection: rigid motion
Translation: rigid motion