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?
1.a reflection only
2.a translation only
3.a reflection, rotation, or a translation
4.a rotation only
The correct answer is 3. a reflection, rotation, or a translation.
In order for a pentagon to undergo a transformation and form a congruent pentagon, the transformation must be a reflection, rotation, or a translation. These are the basic transformations that preserve the shape and size of a figure. It could be any one of these transformations, depending on the specific details of the problem.