**Final Answer:
The rectangle is a dilation of Rectangle JKLM with a scale factor of 2
B. Rectangle J'K'LM**
Step-by-step explanation:
A dilation involves scaling a figure up or down while maintaining its shape. The correct option is B, Rectangle J'K'LM.
In a dilation with a scale factor of 2, each point in the original rectangle (JKLM) is moved to a new location that is twice as far from the center of dilation. The prime notation (') indicates the corresponding points in the dilated figure.
Rectangle J'K'LM can be obtained by taking each point in JKLM and moving it to a new location that is twice the distance from the center of dilation. This results in a rectangle that is enlarged but maintains the same shape and proportions.
Other options involve variations in the placement of primes or the order of vertices, which do not correctly represent a dilation with a scale factor of 2. The correct answer, B, is consistent with the principles of dilation, demonstrating a clear understanding of geometric transformations.