Related Topics:

Lesson Plans and Worksheets for Grade 8

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 8

Common Core For Grade 8

### New York State Common Core Math Grade 8, Module 3, Lesson 9

### Lesson 9 Student Outcomes

### Lesson 8 Summary

### NYS Math Module 3 Grade 8 Lesson 9

Lesson Plans and Worksheets for Grade 8

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 8

Common Core For Grade 8

Examples, videos, and solutions to help Grade 8 students learn that similarity is both a symmetric and a transitive relation.

Download Worksheets for Grade 8, Module 3, Lesson 9

• Students know that similarity is both a symmetric and a transitive relation.

• Similarity is a symmetric relation. That means that if one figure is similar to another, S ∼ S', then we can be sure
that S' ∼ S.

Similarity is a transitive relation. That means that if we are given two similar figures, S ∼ T, and another statement
about T ∼ U, then we also know that S ∼ U.

Classwork

Exploratory Challenge 1

The goal is to show that if △ ABC is similar to △ A'B'C', then △ A'B'C' is similar to △ ABC.
Symbolically, if △ ABC ∼ △ A'B'C', then △ A'B'C' ∼ △ ABC.

Exploratory Challenge 2

The goal is to show that if △ ABC is similar to △ A'B'C', and △ A'B'C' is similar to △ A'"B'"C'", then is similar to
△ ABC is similar to △ A''B''C''. Symbolically, if △ ABC ∼ △ A'B'C', and △ A'B'C' ∼ △ A''B''C'' then △ ABC ∼ △ A''B''C''.

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.