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Ch 4: Prentice Hall Geometry Chapter 4: Congruent Triangles

About This Chapter

The Congruent Triangles chapter of this Prentice Hall 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 the Prentice Hall Geometry 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 triangles topics you need to learn or review.
  • Complete the quizzes 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.

Students will learn:

  • Identifying congruent figures and corresponding parts
  • Converse of a statement
  • Similarity transformations in corresponding figures
  • Triangle congruence postulates
  • Proving relationships in figures
  • The AAS (angle-angle-side) theorem
  • Congruence proofs
  • Congruency of isosceles triangles
  • Converse of isosceles triangle theorem
  • Congruency of equilateral triangles
  • The HL (hypotenuse leg) theorem
  • The HA (hypotenuse angle) theorem
  • Congruency of right triangles
  • Properties of concurrent lines in a triangle
  • Using congruent triangles to plan and write proofs
  • Using overlapping triangles in proofs
  • Using congruent triangles to prove constructions are valid

Prentice Hall Geometry is a registered trademark of Prentice Hall, which is not affiliated with Study.com.

9 Lessons in Chapter 4: Prentice Hall Geometry Chapter 4: Congruent Triangles
Test your knowledge with a 30-question chapter practice test
Converse of a Statement: Explanation and Example

1. 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.

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.

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

3. 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.

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.

Congruency of Isosceles Triangles: Proving the Theorem

5. 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.

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

6. 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.

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

7. 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.

Congruency of Right Triangles: Definition of LA and LL Theorems

8. 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.

Properties of Concurrent Lines in a Triangle

9. Properties of Concurrent Lines in a Triangle

Centroids, orthocenters, incenters, circumcenters, oh my! Don't worry though. In this lesson, we master the various terms for concurrent lines in triangles and match them to altitudes, angle bisectors, perpendicular bisectors and medians.

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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