Final answer:
The correct similarity transformation sequence for demonstrating that ∆AEC is similar to ∆DEF involves Translation, followed by Rotation, and capped off with Dilation.
Therefore, the correct answer is option b: Translation, Rotation, Dilation.
Step-by-step explanation:
The correct sequence of similarity transformations that shows ∆AEC is similar to ∆DEF, given that FE is perpendicular to CE, would be Translation, followed by Rotation, and finally Dilation. This sequence is necessary to align the triangles so that corresponding angles and sides match according to the criteria for similarity in triangles. After a suitable translation to bring the vertices together, a rotation can adjust the orientation, and a dilation can change the size while maintaining shape. Therefore, the correct answer is option b: Translation, Rotation, Dilation.
The correct sequence of similarity transformations that shows ΔAEC is similar to ΔDEF is d. Reflection, Dilation, Rotation.
In a reflection, the shape is flipped across a line. In a dilation, the shape is either enlarged or reduced. And finally, in a rotation, the shape is turned around a fixed point. By applying these transformations in the correct order, we can demonstrate that ΔAEC is similar to ΔDEF.