Ch 33: NES Essential Academic Skills Math: Triangle Theorems & Proofs

About This Chapter

Improve your mathematical skills as part of the preparation process for passing the NES Essential Academic Skills Math examination. Use this chapter to recall the fundamentals of triangle theorems and proofs. Handy videos and quizzes are included.

NES Essential Academic Skills Math: Triangle Theorems and Proofs - Chapter Summary

Brush up on techniques for solving problems with triangles prior to taking the NES Essential Academic Skills Math examination for teacher certification. The chapter's online videos explain how you can determine whether triangles are congruent, and some of the lessons also provide practice problems for you to tackle. Once you've watched each educational video lesson, you might be able to:

  • Describe the applications of similar triangles
  • Understand the use of triangle congruence postulates
  • Apply the CPCTC theorem
  • Explain the converse of statements
  • Examine similarity transformations and prove relationships with similarity and congruence

The video lessons are animated and fun to watch. They're presented by experienced teachers and mathematics experts. Review the online lessons before you sit for the NES Essential Academic Skills Math examination and determine the areas you'll need to further explore. Use the video tags to move from one main topic to the next, and rewind and pause the online videos whenever you like. Written transcripts mirror the videos and multiple-choice quizzes follow each lesson.

NES Essential Academic Skills Math: Triangle Theorems and Proofs Chapter Objectives

Display your comprehension of triangle theorems and proofs during the third section of the NES Essential Academic Skills Subtest III - Mathematics examination, which will gauge your knowledge of geometric concepts in general. After reviewing this chapter and recalling your earlier studies, you should be able to analyze and understand the properties of triangles. Correctly respond to the computer-based examination's 45 multiple-choice questions so that you may qualify for a mathematics teaching endorsement. You should finish the examination in one hour or less.

6 Lessons in Chapter 33: NES Essential Academic Skills Math: Triangle Theorems & Proofs
Test your knowledge with a 30-question chapter practice test
Applications of Similar Triangles

1. Applications of Similar Triangles

Similar triangles are used to solve problems in everyday situations. Learn how to solve with similar triangles here, and then test your understanding with a quiz.

Triangle Congruence Postulates: SAS, ASA & SSS

2. 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.

Congruence Proofs: Corresponding Parts of Congruent Triangles

3. 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.

Converse of a Statement: Explanation and Example

4. Converse of a Statement: Explanation and Example

Just because a conditional statement is true, is the converse of the statement always going to be true? In this lesson, we'll learn the truth about the converse of statements.

Similarity Transformations in Corresponding Figures

5. Similarity Transformations in Corresponding Figures

Watch this video lesson to learn how you can tell if two figures are similar by using similarity transformations. Learn how to find the corresponding sides and angles and then how to compare them.

Practice Proving Relationships using Congruence & Similarity

6. Practice Proving Relationships using Congruence & Similarity

In geometry, if two shapes are similar they have the same shape but different sizes, while two congruent shapes have the same shape and size. In this lesson, you will learn how to prove that shapes are similar or congruent.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
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 NES Essential Academic Skills Mathematics Subtest 3 (003): Practice & Study Guide course

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