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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

4. Compositions of Isometries

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Exercise 33 Page 575

Is there a line of symmetry between △PQM and △JLM?

Transformation: Reflection
Reflection Line: x=4

Practice makes perfect

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.

Subchapter links

Lesson Check p.573

Practice and Problem-Solving Exercises p.574-576

Standardized Test Prep p.576

Mixed Review p.576