Proving Triangles Congruent Teachers.Henrico （证明三角形全等Teachers.Henrico）.pptVIP

Lesson 5-3: Proving Triangles Similar Lesson 5-3 AA Similarity (Angle-Angle) SSS Similarity (Side-Side-Side) SAS Similarity (Side-Angle-Side) Similarity is reflexive, symmetric, and transitive. * * (AA, SSS, SAS) Proving Triangles Similar If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar. Conclusion: and Given: If the measures of the corresponding sides of 2 triangles are proportional, then the triangles are similar. Given: Conclusion: 5 11 22 8 16 10 If the measures of 2 sides of a triangle are proportional to the measures of 2 corresponding sides of another triangle and the angles between them are congruent, then the triangles are similar. Given: Conclusion: 5 11 22 10 1. Mark the Given. 2. Mark … Shared Angles or Vertical Angles 3. Choose a Method. (AA, SSS , SAS) Think about what you need for the chosen method and be sure to include those parts in the proof. Steps for proving triangles similar: Proving Triangles Similar Problem #1 C D E G F Step 1: Mark the given … and what it implies Step 2: Mark the vertical angles Step 3: Choose a method: (AA,SSS,SAS) Step 4: List the Parts in the order of the method with reasons Step 5: Is there more? Reasons Statements Given Alternate Interior s AA Similarity Alternate Interior s AA Problem #2 Step 1: Mark the given … and what it implies Step 2: Choose a method: (AA,SSS,SAS) Step 4: List the Parts in the order of the method with reasons Step 5: Is there more? Reasons Statements Given Division Property SSS Similarity Substitution SSS 1. IJ = 3LN ; JK = 3NP ; IK = 3LP Problem #3 Step 1: Mark the given … and what it implies Step 3: Choose a method: (AA,SSS,SAS) Step 4: List the Parts in the order of the method with reasons Next Slide…………. Step 5: Is there more? SAS Step 2: Mark the reflexive angles