Question

find the composition of transformations that map △pqr to △pqr. translate ? unit(s) to the and then reflect over the .

Explanation:

Step1: Determine the translation

Count the horizontal units between corresponding points (e.g., \(P\) and \(P'\)). \(P\) is at \(x = 1\), \(P'\) is at \(x=-3\). The number of units moved horizontally is \(|1-(-3)| = 4\) units to the left.

Step2: Determine the reflection

After translation, observe the orientation. The triangles have a mirror - like appearance. The line of reflection is the \(x\) - axis (since the \(y\) - coordinate signs change after the reflection operation).

Answer:

Translate \(4\) unit(s) to the left and then reflect over the \(x -\)axis.