Final Answer:
The statement that is NOT true is A'B' is a reflection of AB, thus the correct option is D.
Step-by-step explanation:
Dilation involves resizing a figure while maintaining its shape. In the given scenario, Triangle ABC is dilated to form Triangle A’B’C. A dilation enlarges or reduces the size of the original figure while keeping the same shape. Therefore, statement B) A'B' is congruent to AB is true since dilation maintains the congruence of corresponding sides.
Regarding statement A) A'B' is smaller than AB, this might be true or false depending on the dilation factor. If the dilation factor is greater than 1, A'B' will be larger than AB. If the dilation factor is between 0 and 1, A'B' will be smaller than AB.
Now, statement C) A'B' is rotated compared to AB is also a matter of interpretation. In a dilation, if the dilation center is not the origin or if the dilation is not isotropic (uniform in all directions), A'B' might appear to be rotated concerning AB. However, in a standard dilation without rotation, A'B' would not be rotated compared to AB.
However, statement D) A'B' is a reflection of AB is not accurate for a dilation. A reflection involves a mirror image across a line, and dilation does not involve reflection. In a dilation, the shape changes proportionally, but the orientation of the figure does not reverse or reflect. Therefore, A'B' is not a reflection of AB in a dilation scenario.