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Ch 5: Big Ideas Math Geometry Chapter 5: Congruent Triangles

About This Chapter

The Congruent Triangles chapter of this Big Ideas Math Geometry Companion Course aligns with the same chapter in the Big Ideas Math Geometry textbook. These simple and fun video lessons are about five minutes long and help you learn the essential lessons about classifying triangles, measuring their angles and proving congruence.

How It Works:

  • Find the lesson within this chapter that corresponds to what you're studying in the Congruent Triangles chapter of your textbook.
  • Watch fun videos that cover the congruent triangle concepts you need to learn or review.
  • Complete the quiz after watching each video lesson to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material, or submit a question for one of our instructors.

Chapter Topics

You'll learn all of the geometry topics covered in the textbook chapter, including:

  • How to classify triangles
  • Measuring the angles of triangles
  • What an equilateral triangle is
  • Geometric theorems
  • How to prove triangles are congruent

Big Ideas Math is a registered trademark of Larson Texts, Inc., which is not affiliated with Study.com.

10 Lessons in Chapter 5: Big Ideas Math Geometry Chapter 5: Congruent Triangles
Test your knowledge with a 30-question chapter practice test
Classifying Triangles by Angles and Sides

1. Classifying Triangles by Angles and Sides

Not all triangles are the same. There are equilateral, isosceles and scalene triangles. Then there are right, acute and obtuse triangles. In this lesson, we'll learn how to classify triangles using their sides and angles.

Measuring the Angles of Triangles: 180 Degrees

2. Measuring the Angles of Triangles: 180 Degrees

Watch this video lesson to see why a triangle's angles always add up to 180 degrees. Also, learn how you can use this unique fact about triangles to find an unknown angle in a triangle.

Congruent Polygons: Definition & Examples

3. Congruent Polygons: Definition & Examples

In this lesson, you'll review what polygons are, and you'll discover the conditions that polygons must meet in order to be congruent. Then, you can test your knowledge with a brief quiz.

Congruence Proofs: Corresponding Parts of Congruent Triangles

4. 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.

Proving the Third Angle Theorem

5. Proving the Third Angle Theorem

In this lesson, we examine the Third Angle Theorem in order to prove the values of an unknown angle within a set of similar triangles. After the lesson and a couple of examples, you can test your understanding with a quiz.

Triangle Congruence Postulates: SAS, ASA & SSS

6. 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.

Congruency of Isosceles Triangles: Proving the Theorem

7. Congruency of Isosceles Triangles: Proving the Theorem

Isosceles triangles have two equal sides. Are the base angles also equal? In this lesson, we'll prove how this is true. We'll also prove the theorem's converse.

What is an Equilateral Triangle? - Definition, Properties & Formula

8. What is an Equilateral Triangle? - Definition, Properties & Formula

In this lesson, you'll discover what equilateral triangles are and the properties they have that make them unique. You'll also learn two formulas that are associated with equilateral triangles. Then, you can test your knowledge with a brief quiz.

The AAS (Angle-Angle-Side) Theorem: Proof and Examples

9. The AAS (Angle-Angle-Side) Theorem: Proof and Examples

When trying to find out if triangles are congruent, it's helpful to have as many tools as possible. In this lesson, we'll add to our congruence toolbox by learning about the AAS theorem, or angle-angle-side.

Proving Triangles Congruent: Explanation & Examples

10. 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.

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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