Geometry

Question Analysis:
This question is about identifying a rigid motion among different transformation examples.
The main focus is to distinguish rigid motions from non - rigid ones based on the effect on the shape and size of a figure.

Key Concept Explanation:
Rigid motion preserves the shape and size of a figure.
Translations, rotations, and reflections are rigid motions, while changes in size (dilation) or distortion are not.

Step - by - Step Solution:
Analyze option A: Enlarging a circle by a scale factor of 3 changes its size, so it's not a rigid motion.
Analyze option B: Translating a pentagon 5 units down only moves the pentagon's position.
Its shape and size remain the same, making it a rigid motion.
Analyze option C: Increasing the lengths of the parallel sides of a trapezoid changes its shape and size, so it's not a rigid motion.
Analyze option D: Twisting a parallelogram into a non - parallelo...