Ch 4: Glencoe Geometry Chapter 4: Congruent Triangles

About This Chapter

The Congruent Triangles chapter of this Glencoe Geometry Textbook Companion Course helps students learn essential geometry lessons of congruent triangles. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Congruent Triangles textbook chapter.

How it works:

  • Identify the lessons in Glencoe Geometry's Congruent Triangles chapter with which you need help.
  • Find the corresponding video lessons within this companion course chapter.
  • Watch fun videos that cover the congruent triangle topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, re-watch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn:

  • Categories and properties of triangles
  • Exterior and interior angles of triangles
  • The third angle theorem
  • Characteristics of congruent and similar shapes
  • Congruent proofs for triangles
  • Triangle congruence postulates
  • The angle-angle-side theorem
  • The hypotenuse angle theorem
  • The hypotenuse leg theorem
  • Geometric constructions
  • Congruency of isosceles and right triangles
  • Characteristics of equilateral triangles

Glencoe Geometry is a registered trademark of McGraw-Hill, which is not affiliated with Study.com.

16 Lessons in Chapter 4: Glencoe Geometry Chapter 4: Congruent Triangles
Test your knowledge with a 30-question chapter practice test
Triangles: Definition and Properties

1. Triangles: Definition and Properties

What makes a shape a triangle? In this lesson, we'll explore the definition of a triangle, then analyze the parts of triangles, including the vertices, base and height.

Classifying Triangles by Angles and Sides

2. 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.

Interior and Exterior Angles of Triangles: Definition & Examples

3. Interior and Exterior Angles of Triangles: Definition & Examples

Knowing just a few things about the interior or exterior angles of triangles is sometimes all you need to put all the pieces together. Find out more in this lesson.

Proving the Third Angle Theorem

4. 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.

Angles and Triangles: Practice Problems

5. Angles and Triangles: Practice Problems

Want more practice solving with angle pairs? How about more review for solving angles in triangles? Look no further. Get more practice here, and test your ability with a quiz.

Properties of Congruent and Similar Shapes

6. Properties of Congruent and Similar Shapes

In this lesson, we'll look at triangles, rectangles and other shapes that share properties. This includes both congruent and similar shapes. We'll also practice identifying the missing properties of these shapes.

Congruence Proofs: Corresponding Parts of Congruent Triangles

7. 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

8. 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.

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.

Constructing Triangles: Types of Geometric Construction

10. Constructing Triangles: Types of Geometric Construction

When you're asked to construct a triangle, it's time to break out that compass and straight edge! In this lesson, find out how to construct triangles no matter what you're given.

The HA (Hypotenuse Angle) Theorem: Proof, Explanation, & Examples

11. The HA (Hypotenuse Angle) Theorem: Proof, Explanation, & Examples

In this lesson, we'll learn about the hypotenuse angle theorem. With this theorem, we can prove two right triangles are congruent with just congruent hypotenuses and acute angles.

The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples

12. The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples

In this lesson, we'll learn about the hypotenuse leg theorem. This theorem enables us to prove two right triangles are congruent based on just two sides.

Congruency of Right Triangles: Definition of LA and LL Theorems

13. Congruency of Right Triangles: Definition of LA and LL Theorems

In this lesson, we'll learn two theorems that help us prove when two right triangles are congruent to one another. The LA theorem, or leg-acute, and LL theorem, or leg-leg, are useful shortcuts for proving congruence.

Congruency of Isosceles Triangles: Proving the Theorem

14. 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

15. 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.

Triangles in Coordinate Planes & Proofs

16. Triangles in Coordinate Planes & Proofs

When you draw a triangle in a coordinate plane, you can use the coordinates on the plane to find information about the triangle. You can even do proofs with triangles in a plane. Watch this lesson to learn how.

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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