##
Lesson 8 & 9 - Student Outcomes

**Student Outcomes**

1. Students know the definition of similar and why dilation alone is not enough to determine similarity. (Lesson 8)

2. Given two similar figures, students describe the sequence of a dilation and a congruence that would map one figure onto the other. (Lesson 8)

3. Students know that similarity is both a symmetric and a transitive relation. (Lesson 9)

**Lesson Review**

- We know that similarity is defined as the sequence of a dilation, followed by a congruence.

- To show that a figure in the plane is similar to another figure of a different size, we must describe the sequence of a dilation, followed by a congruence (one or more rigid motions), that maps one figure onto another.

**Lesson Summary**

- Similarity is defined as mapping one figure onto another as a sequence of a dilation followed by a congruence (a sequence of rigid motions).
- The notation that triangle ABC ~ A'B'C', means that they are similar.