# Ch 37: 8th Grade Math: Triangle Theorems and Proofs in Geometry

The videos in this chapter focus on showing 8th graders triangle theorems and proofs in a creative and engaging way. Lesson quizzes and a chapter exam are also included to provide you with helpful feedback on the concepts they have grasped.

## 8th Grade Math: Triangle Theorems and Proofs in Geometry - Chapter Summary

Each video lesson is about five minutes long and is designed to help your 8th graders remember the triangle theorems and proofs you have introduced in class. The fun and light-hearted videos examine postulates, proofs, and theorems of triangles using angles, hypotenuses and sides and show students how to apply these to solve geometric problems. You can use the multiple-choice quizzes to see where students may have questions, and the chapter exam can test what they have remembered from this chapter.

## Chapter Lessons and Objectives

Lesson Objective
Applications of Similar Triangles Students examine ways to solve applications of similar triangles.
Triangle Congruence Postulates: SAS, ASA & SSS Students look at examples of SAS, ASA and SSS postulates to solve the congruence of two triangles.
Congruence Proofs: Corresponding Parts of Congruent Triangles Instructors provide problems in which students apply the corresponding parts of congruent triangles proof.
Converse of a Statement: Explanation and Example Students learn that to use the converse of a statement as a reason in any proof, it must first be true.
Similarity Transformations in Corresponding Figures With this lesson, students determine if two given figures are similar by using the definition of similarity in terms of similarity transformations.
Proving Relationships in Figures using Congruence and Similarity Lesson leads students to apply congruence and similarity of triangles to prove relationships in geometric figures.
Practice Proving Relationships Students have a chance to practice solving problems that prove relationships.
The AAS (Angle-Angle-Side) Theorem: Proof and Examples Students discover what the angle-angle-side theorem states and how to prove it.
The HA (Hypotenuse Angle) Theorem: Proof, Explanation & Examples Instructors explain the hypotenuse angle theorem.
The HL (Hypotenuse Leg) Theorem: Definition, Proof & Examples In this lesson, students gather information about the hypotenuse leg theorem.
Perpendicular Bisector Theorem: Proof and Example Students learn the segment bisector theorem by looking at an example a perpendicular bisector of a given line segment.
Angle Bisector Theorem: Proof and Example Lesson builds on the previous lesson and uses the bisector of a given angle to prove the bisector theorem.
Congruency of Right Triangles: Definition of LA and LL Theorems Students examine the LA and LL theorems.
Congruency of Isosceles Triangles: Proving the Theorem Students learn that when the base angles of an isosceles triangle are congruent, the angles opposite these sides are also congruent.

11 Lessons in Chapter 37: 8th Grade Math: Triangle Theorems and Proofs in Geometry
Test your knowledge with a 30-question chapter practice test
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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