# Ch 44: 6th-8th Grade Geometry: Triangle Theorems & Proofs

The video lessons in this chapter help 6th-8th graders improve their knowledge of triangle theorems and their ability to prove them. Students take multiple-choice lesson quizzes and a chapter exam to see how well they've grasped these geometry concepts.

## 6th-8th Grade Geometry: Triangle Theorems & Proofs - Chapter Summary

Your middle schooler can use this geometry chapter to reinforce what he or she has learned about triangle theorems and proofs at school. By watching the short video lessons, students are able to review key concepts and apply them to practice problems. Instructors cover the SAS, ASA and SSS postulates as well as the CPCTC theorem, among others. The lessons also explain how to verify the converse of conditional statements. Your 6th, 7th or 8th grader can get extra help by submitting questions to instructors and reviewing the lessons' transcripts. Students apply what they've learned in the videos to the problems in the self-assessment quizzes and chapter exam.

## Chapter Lessons and Objectives

LessonObjective
Applications of Similar TrianglesStudents learn how to solve real-world problems involving similar triangles.
Triangle Congruence Postulates: SAS, ASA & SSSThe instructor teaches students to use the SAS, ASA and SSS postulates to determine if triangles are congruent.
Congruence Proofs: Corresponding Parts of Congruent TrianglesStudents practice solving problems using the CPCTC theorem.
Converse of a Statement: Explanation and ExampleThis lesson discusses the importance of verifying that the converse of a conditional statement is true.
Similarity Transformations in Corresponding FiguresStudents use examples to determine if two figures are similar based on similarity transformations.
How to Prove Relationships in Figures using Congruence & SimilarityIn this lesson, students learn to use similarity and congruence criteria to prove geometric figures' relationships.
Practice Proving Relationships using Congruence & SimilarityStudents apply what they learned in the previous lesson about proving relationships by completing practice problems.
The AAS (Angle-Angle-Side) Theorem: Proof and ExamplesThe instructor defines the AAS theorem and uses examples to demonstrate it.
The HA (Hypotenuse Angle) Theorem: Proof, Explanation & ExamplesThis lesson teaches students to use the HA theorem to verify that two right triangles are congruent.
The HL (Hypotenuse Leg) Theorem: Definition, Proof & ExamplesStudents solve practice problems using the HL theorem.
Perpendicular Bisector Theorem: Proof and ExampleThe instructor guides students through proving the perpendicular bisector theorem.
Angle Bisector Theorem: Proof and ExampleThis lesson explains the angle bisector theorem and illustrates it using examples.
Congruency of Right Triangles: Definition of LA and LL TheoremsStudents learn to use the LA and LL theorems for determining right triangles' congruency.
Congruency of Isosceles Triangles: Proving the TheoremWith this lesson, students learn to prove the congruency of isosceles triangles theorem and its converse.

Final Exam
Chapter Exam

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