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

About This Chapter

Reinforce what you know about triangle theorems and proofs. Use these video lessons to study these geometry concepts for the NMTA Essential Academic Skills Subtest III: Mathematics test.

NMTA Essential Academic Skills Math: Triangle Theorems & Proofs - Chapter Summary

Our experienced instructors guide you through various triangle theorems and proofs as well as provide problems for practice. Topics covered by lessons in this chapter include:

  • Identifying applications of similar triangles
  • Defining SAS, ASA & SSS triangle congruence postulates
  • Discussing corresponding parts of congruent triangles
  • Explaining the converse of a statement
  • Examining similarity transformations in corresponding figures
  • Proving relationships using congruence and similarity

Each lesson presents information in an engaging, conversational tone to make studying fun. Lessons are short, less than 10 minutes each, and can be watched as many times as you'd like. Take multiple choice quizzes to test your mastery of the subject matter covered in the lessons.

NMTA Essential Academic Skills Math: Triangle Theorems & Proofs - Chapter Objectives

The NMTA Essential Academic Skills Subtest III: Mathematics test is required by the state of New Mexico for teachers seeking initial licensure. The test consists of 45 multiple choice questions asked in a computerized format. Test sessions are up to 1 hour long.

The test covers 5 competencies or content areas, including measurement principles and geometry concepts. Questions on triangle theorems and proofs fall under this competency. Use our lessons, practice quizzes and the chapter exam to prepare to answer these types of questions on the test.

6 Lessons in Chapter 33: NMTA 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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