Question

determine a series of transformations that would map polygon abcde onto polygon abcde?

Explanation:

Step1: Identify scaling factor

Compare side lengths: $E'D'$ vs $ED$ is 4 vs 2 → scale factor = 2.

Step2: Apply dilation

Dilate ABCDE by 2 from origin: $(x,y)→(2x,2y)$.

Step3: Apply translation

Translate dilated figure right 8, up 8: $(2x+8,2y+8)$.

Answer:

Dilate polygon ABCDE by a scale factor of 2 centered at the origin, then translate the result 8 units right and 8 units up.