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Comprehensive Guide to Triangle Congruence Proofs

This guide provides a structured approach to establishing triangle congruence using various methods such as SSS, SAS, ASA, AAS, and HL. Each proof is broken down into clear, step-by-step instructions. You’ll learn how to mark given information, identify reflexive sides, choose the appropriate method, and list parts along with their reasons. The guide also includes multiple problems to practice and reinforce your understanding of triangle congruence theorems. Enhance your skills in geometry with this essential resource for students and teachers alike.

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Comprehensive Guide to Triangle Congruence Proofs

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  1. 10/8/12Triangles Unit Congruent Triangle Proofs

  2. A B @ AB CD 1. @ BC DA 2. @ AC CA 3. C D Problem 1  Step 1: Mark the Given Step 2: Mark reflexive sides SSS Step 3: Choose a Method (SSS /SAS/ASA ) Step 4: List the Parts in the order of the method Step 5: Fill in the reasons Step 6: Is there more? Given Given Reflexive Property SSS Postulate

  3. Problem 2  Step 1: Mark the Given Step 2: Mark vertical angles SAS Step 3: Choose a Method (SSS /SAS/ASA) Step 4: List the Parts in the order of the method Step 5: Fill in the reasons Step 6: Is there more? Given Vertical Angles. Given SAS Postulate

  4. X W Y Z Problem 3  Step 1: Mark the Given Step 2: Mark reflexive sides ASA Step 3: Choose a Method (SSS /SAS/ASA) Step 4: List the Parts in the order of the method Step 5: Fill in the reasons Step 6: Is there more? Given Reflexive Postulate Given ASA Postulate

  5. Problem 4  Step 1: Mark the Given Step 2: Mark vertical angles AAS Step 3: Choose a Method (SSS /SAS/ASA/AAS/ HL ) Step 4: List the Parts in the order of the method Step 5: Fill in the reasons Step 6: Is there more? Given Vertical Angle Thm Given AAS Postulate

  6. Problem 5  Step 1: Mark the Given Step 2: Mark reflexive sides HL Step 3: Choose a Method (SSS /SAS/ASA/AAS/ HL ) Step 4: List the Parts in the order of the method Step 5: Fill in the reasons Step 6: Is there more? Given Given Reflexive Property HL Postulate

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