Exercise 33 Page 575

We will identify the mapping as a translation, reflection, rotation, or glide reflection. Then we will write the rule for the transformation. Let's do it!

Identifying the Transformation

In the given diagram, we want to identify the transformation that maps △PQM onto △JLM.

Note that there appears to be a line of symmetry between △PQM and △JLM. Therefore, the transformation that maps △PQM onto △JLM is a reflection.

Writing the Rule

In this case, the reflection is across the line x=4.

We can say that the rule for this transformation is a reflection across the line x=4.