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Triangle Congruence Proofs and Properties - Study Guide

This study guide covers important concepts from units 4 and 5, such as proving triangle congruence using SSS, SAS, ASA, AAS, and HL, as well as using CPCTC to prove other parts congruent. It also delves into properties of triangles, including interior angles and right triangles, along with practical examples and exercises. Be sure to study all notes and textbook sections thoroughly for success in your upcoming test!

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Triangle Congruence Proofs and Properties - Study Guide

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  1. Unit 4 and 5 Review

  2. Very Important • You need to study: • ALL notes and textbook from 4.2, 4.3, 5.1-5.4 • PROOFS will be a big part of this test. You CANNOT leave them blank

  3. What are the 5 reasons we use to prove triangles congruent? • SSS • SAS • ASA • AAS • HL

  4. After you prove triangles congruent, what reason can you use to prove OTHER parts are congruent? • CPCTC

  5. What do you know…. • About the three angles of any triangle? • About the acute angles of a right triangle?

  6. Draw this diagram • 2 equilateral triangles with a shared side of MN. They are triangle OMN and triangle LMN • If triangles are equilateral, they are also________________ • This means their angles are each _____ degrees

  7. Draw a diagram • Triangle with an exterior angle of x and remote interior angles of 54 and 29 degrees

  8. Proving triangles congruent • You will need to • Mark your diagrams • State the reason • State the congruence

  9. What CAN you mark on your diagrams? • Vertical angles • Shared side • Parallel line relationships • Alt int • Alt ext • corresponding

  10. Review 10-14

  11. Given: G is the midpoint of HT <2 = <3 • Prove: HD = GT H G D T

  12. Overlapping triangles H G • Review #19 and F I

  13. Bowtie prove triangles congruent

  14. Parallelogram prove CPCTC

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