Final answer:
The correct similarity statement for a triangle ABC dilated by a factor of 3 is ΔABC ~ ΔDEF, maintaining the order of the corresponding vertices.
Step-by-step explanation:
The question asks to determine the correct similarity statement for a triangle that has been dilated with a scale factor of 3. When a figure is dilated, the angles remain the same while the lengths of the sides are multiplied by the scale factor. If triangle ABC has been dilated by a scale factor of K = 3, the corresponding sides of the dilated triangle will be three times as long. The similarity statement should preserve the order of the vertices to reflect the corresponding angles and sides.
Therefore, if the corresponding vertices after dilation are D, E, and F, then the correct similarity statement would be ΔABC ~ ΔDEF, keeping the order of the vertices the same as they were in the original triangle. So the answer would be: b. ΔABC ~ ΔDEF.