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Ch 21: Congruence & Similarity: NBPTS Math - Adolescence & Young Adult

About This Chapter

This chapter is made up of engaging lessons orchestrated by professional instructors. The lesson content focuses on the kind of material related to congruence and similarity that you'll be encountering on the NBPTS Math (Adolescence & Young Adult) exam.

NBPTS Math - Adolescence & Young Adult: Congruence and Similarity - Chapter Summary

This chapter covers the identification of congruence and similarity in various shapes, preparing you for all the subject-relevant topics you'll want to be ready for come test day, including:

  • Congruent figures
  • Congruence proofs and postulates
  • Proving triangle congruency
  • The transformation of congruence
  • Similar polygons and triangles
  • The theorem of triangle proportionality
  • Coordinate geometry and transformational strategies
  • Similarity transformations

Confirming your understanding of these topics can be easily achieved through the practice quizzes you can take after each lesson. If you're looking to study further offline, these quizzes can also be printed as worksheets.

8 Lessons in Chapter 21: Congruence & Similarity: NBPTS Math - Adolescence & Young Adult
Test your knowledge with a 30-question chapter practice test
What Are Congruent Figures? - Definition & Examples

1. What Are Congruent Figures? - Definition & Examples

In this lesson, you'll learn what congruent figures are. You'll also see a few examples of congruent and non-congruent figures. Then, test your knowledge with a brief quiz.

Congruence Proofs: Corresponding Parts of Congruent Triangles

2. Congruence Proofs: Corresponding Parts of Congruent Triangles

Congruent triangles have congruent sides and angles, and the sides and angles of one triangle correspond to their twins in the other. In this lesson, we'll try practice with some geometric proofs based around this theorem.

Triangle Congruence Postulates: SAS, ASA & SSS

3. Triangle Congruence Postulates: SAS, ASA & SSS

When we have two triangles, how can we tell if they're congruent? They may look the same, but you can be certain by using one of several triangle congruence postulates, such as SSS, SAS or ASA.

Proving Triangles Congruent: Explanation & Examples

4. Proving Triangles Congruent: Explanation & Examples

If the three sides of one triangle are the same length as the three sides of another triangle and the three angles of the first triangle have the same measure as the angles of the second triangle, then the two triangles are said to be congruent. You can measure all six sides and all six angles to see if they are the same. An easier means of determining if triangles are congruent is to use one of the five triangle congruence theorems.

Congruence Transformation: Definition & Theorems

5. Congruence Transformation: Definition & Theorems

Congruence transformations happen all around us. This lesson will define congruence transformations and explore a couple of interesting theorems about these types of transformations as well as look at examples.

Similar Polygons: Definition and Examples

6. Similar Polygons: Definition and Examples

Watch this video to learn what makes two polygons similar to each other. You'll also learn the one distinguishing aspect of similar polygons and see an example of how to compare two polygons.

How to Identify Similar Triangles

7. How to Identify Similar Triangles

Similar triangles have the same characteristics as similar figures but can be identified much more easily. Learn the shortcuts for identifying similar triangles here and test your ability with a quiz.

Triangle Proportionality Theorem

8. Triangle Proportionality Theorem

Watch this video lesson to learn all about the triangle proportionality theorem and how you can use this interesting theorem to help you solve problems. Learn how a parallel line can create sides that are proportional to each other.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the National Board Certification Exam - Mathematics/Adolescence & Young Adulthood: Practice & Study Guide course

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