Question

Pentagon LMNOP undergoes a single transformation to form a congruent pentagon, L′M′N′O′P′. Which of the following best describes the possible transformation that took place?

Answer 1

In the context of geometry, a transformation that results in a congruent figure means that the figure has been altered in a way that maintains its shape and size. The possible transformations that can lead to a congruent pentagon, such as LMNOP becoming L′M′N′O′P′, typically include:

1. **Translation**: This involves shifting the entire shape to a different location without rotating or flipping it. Every point of the pentagon moves the same distance in the same direction.

2. **Rotation**: This involves turning the figure around a fixed point (center of rotation) by a certain angle. All points of the pentagon move in a circular path around the center of rotation.

3. **Reflection**: This involves flipping the pentagon over a line (the line of reflection), creating a mirror image of the original pentagon.

Since the transformation results in a congruent pentagon, any of these transformations (translation, rotation, or reflection) could describe the change from LMNOP to L′M′N′O′P′. Therefore, the best answer would include any of these three transformations as potential options.