Question

1. the figures are congruent. select all the sequences of transformations that would take figure 1 to figure 2. draw in the workspace if it helps you to figure out the answer. translate by directed line segment ad. rotate 180 degrees around point e.

Explanation:

Step1: Analyze translation

A translation by directed line segment \(AD\) moves each point of Figure 1 in the same direction and distance as from \(A\) to \(D\). Since the figures are congruent, this would map Figure 1 to Figure 2.

Step2: Analyze rotation

A rotation of \(180^{\circ}\) around point \(E\) does not map Figure 1 to Figure 2. If we consider the positions of the vertices relative to \(E\), the orientation and position after a \(180^{\circ}\) rotation around \(E\) does not match Figure 2.

Answer:

Translate by directed line segment \(AD\)