Final answer:
To map similar triangles ΔABC to ΔDEF, we would observe their orientations and sizes to determine if a dilation, reflection, rotation, or translation is necessary. The correct sequence is determined by the specific characteristics of the triangles.
Step-by-step explanation:
The student has been given the scenario that two triangles, ΔDEF and ΔABC, are similar (ΔDEF ∼ ΔABC), and they are required to determine the sequence of transformations that maps one triangle to the other. The correct sequence of transformations can be found by observing the orientations and relative sizes of the two triangles.
Since both triangles are similar, there may be a need for a dilation to change the size to match the corresponding sides. If the orientation of the triangles is different, a reflection or rotation is required to match the direction of the corresponding sides. Translation is then used to place the triangle in the correct position.
The options provided to the student include various combinations of these transformations, such as reflections across the y-axis, rotations about the origin, translations, and dilations with certain scale factors.