1. Proving Triangles Congruent

2. Steps for Proving Triangles Congruent 1.Mark the Given. 2.Mark … reflexive sides, vertical angles, alternate interior angles, etc. 3.Choose a Method. (SSS, SAS, HL, ASA, AAS) 4.List the Parts … in the order of the method. 5.Fill in the Reasons … why you marked the parts. 6.Is there more?

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

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

5. Example 3 : Step 1: Mark the Given Step 2: Mark reflexive sides 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? HL Given Reflexive Property HL Postulate StatementsReasons

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

7. Example 5: StatementsReasons Step 1: Mark the Given Step 2: Mark vertical angles 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? AAS Given Vertical Angles are AAS Postulate