# Ch 6: Honors Geometry: Similar & Congruent Triangle Proofs

Similar and congruent triangle proofs are used to establish triangular relationships. This chapter of your Honors Geometry course looks at the ways proofs help you to work with triangles of varying measurements and traits.

## Honors Geometry: Similar & Congruent Triangle Proofs - Chapter Summary and Learning Objectives

Triangles can be seen as similar just by looking at them, but using mathematically proven formulas will make your studies much easier. These lessons contain a number of proofs that verify similarity and congruence in triangles that will appear in your geometry problems and on graphs. Topics you'll look at include the following:

• How to use the AAS Theorem
• How to utilize the Perpendicular Bisector Theorem
• What the Triangle Congruence Postulates are
• How to prove relationships in congruence and similarity
• What the properties are for concurrent triangle lines

VideoObjective
Triangle Proportionality TheoremUnderstand how to use this theorem to solve problems involving triangles.
How to Identify Similar TrianglesLearn to recognize triangle traits.
Applications of Similar TrianglesApply knowledge of similar triangles to solve problems.
Congruence Proofs: Corresponding Parts of Congruent TrianglesFind similar parts of triangles using congruence proofs.
The AAS (Angle-Angle-Side) Theorem: Proof and ExamplesUse the AAS Theorem to find congruency.
Perpendicular Bisector Theorem: Proof and ExampleSee how to divide lines into equal halves with this theorem.
Angle Bisector Theorem: Proof and ExampleStudy examples of this theorem and see how it works.
Triangle Congruence Postulates: SAS, ASA & SSSCompare the three postulates and find out how they each prove congruency.
The Transitive Property of Similar TrianglesDiscover how this property is used with similar triangles.
Congruence of Isosceles Triangles: Proving the TheoremLearn to prove this theorem as well as its converse.
Similarity Transformations in Corresponding FiguresTake a look at how to transform similar figures.
How to Prove Relationships in Figures using Congruence & SimilarityUse what you have learned to prove relationships geometrically.
Practice Proving Relationships using Congruence & SimilarityApply skills you've gained with practice problems.
Properties of Concurrent Lines in a TriangleReview terms related to concurrent lines.

14 Lessons in Chapter 6: Honors Geometry: Similar & Congruent Triangle Proofs
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.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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