1 / 10

Lesson 5-3

Lesson 5-3. Proving Triangles Similar. (AA, SSS, SAS). AA Similarity (Angle-Angle). If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar. Given:. and. Conclusion:. 5. 10. 16. 8. 11. 22. SSS Similarity (Side-Side-Side).

ralph
Download Presentation

Lesson 5-3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lesson 5-3 Proving Triangles Similar (AA, SSS, SAS) Lesson 5-3: Proving Triangles Similar

  2. AA Similarity (Angle-Angle) If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar. Given: and Conclusion: Lesson 5-3: Proving Triangles Similar

  3. 5 10 16 8 11 22 SSS Similarity (Side-Side-Side) If the measures of the corresponding sides of 2 triangles are proportional, then the triangles are similar. Given: Conclusion: Lesson 5-3: Proving Triangles Similar

  4. 5 10 11 22 SAS Similarity (Side-Angle-Side) 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: Lesson 5-3: Proving Triangles Similar

  5. Similarity is reflexive, symmetric, and transitive. Proving Triangles Similar Steps for proving triangles similar: 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. Lesson 5-3: Proving Triangles Similar

  6. G D C E F Given: DE║GF Prove: DEC ~ FGC Problem #1 Step 1: Mark the given … and what it implies Step 2: Mark the vertical angles AA 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? Given Alternate Interior <s Alternate Interior <s AA Similarity Lesson 5-3: Proving Triangles Similar

  7. Problem #2 ~ Step 1: Mark the given … and what it implies SSS 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? 1.IJ = 3LN ; JK = 3NP ; IK = 3LP Given Division Property Substitution SSS Similarity Lesson 5-3: Proving Triangles Similar

  8. Given: ABCD is a rectangle. Prove: Problem #3 Lesson 5-3: Proving Triangles Similar

  9. Problem #4 ~ Step 1: Mark the given … and what it implies Step 2: Mark the reflexive angles SAS 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? Lesson 5-3: Proving Triangles Similar

  10. Lesson 5-3: Proving Triangles Similar

More Related