Question

classification of rigid motions
for exercises 1 - 5, use the diagram.

1. what composition of two rigid motions maps

△abc to △abc?
for exercises 2 - 5, find the coordinates

Explanation:

Step1: Analyze the position change

First, observe the relative position of \(\triangle ABC\) and \(\triangle A'B'C'\). Notice that \(\triangle ABC\) can be first reflected over the \(x -\)axis.

Step2: Analyze the translation after reflection

After reflection over the \(x -\)axis, then translate the reflected triangle \(4\) units to the left.

Answer:

A reflection over the \(x -\)axis followed by a translation \(4\) units to the left.