Question

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

Explanation:

Step1: Identify horizontal translation

Count the number of units polygon \(ABCDE\) needs to move horizontally to align with \(A'B'C'D'E'\). Polygon \(ABCDE\) needs to be translated 10 units to the left.

Step2: Identify reflection

After the translation, observe that polygon \(ABCDE\) needs to be reflected over the \(x -\)axis to match the orientation of \(A'B'C'D'E'\).

Answer:

First, translate polygon \(ABCDE\) 10 units to the left, then reflect the resulting polygon over the \(x -\)axis.