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6.5 SSS & SAS Similarity Theorems                                      November 18, 2011




                                      Bellwork
    Determine if 2 triangles are similar. If they are, write a similarity 
    statement. 
                                                      2. 




         Yes;     ABE ~     ACD                                   no
      Find the length of BC 
                                       4.    A tree casts a shadow that is 30 feet 
                                       long. At the same time a person standing 
                                       nearby,who is five feet two inches tall, 
                                       casts a shadow that is 50 inches long. How 
                                       tall is the tree to the nearest foot?
                                                              37 ft
                    7.5




HW pg. 4­22 evens & 37                                                                     1
6.5 SSS & SAS Similarity Theorems                                                                         November 18, 2011

                           6.5 Prove Triangles Similar by SSS & SAS
                  SSS Similarity Theorem: If the corr. sides of 2 s are proportional, then the s are ~.
                    A                       R
                                                                   If AB = BC = CA, then   ABC ~   RST
                                                                      RS ST TR
                                            S              T
                                       C
                    B




HW pg. 4­22 evens & 37                                                                                                        2
6.5 SSS & SAS Similarity Theorems   November 18, 2011




HW pg. 4­22 evens & 37                                  3
6.5 SSS & SAS Similarity Theorems                                                                 November 18, 2011
                 SAS Similarity Theorem: If an < is ≅ to another < in 2nd   and the included sides
                 are proportional, then the are ~.                          M

                                                          X
                 If <X≅<M & ZX = XY, then   XYZ ~   MNP
                            PM MN
                                                                            P                 N
                                                          Z             Y




HW pg. 4­22 evens & 37                                                                                                4
6.5 SSS & SAS Similarity Theorems   November 18, 2011




HW pg. 4­22 evens & 37                                  5
6.5 SSS & SAS Similarity Theorems           November 18, 2011




           p g.
        HW391
                         #4-22 evens & 37




HW pg. 4­22 evens & 37                                          6

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6.5 notes

  • 1. 6.5 SSS & SAS Similarity Theorems November 18, 2011 Bellwork Determine if 2 triangles are similar. If they are, write a similarity  statement.  2.  Yes;     ABE ~     ACD             no Find the length of BC  4.    A tree casts a shadow that is 30 feet  long. At the same time a person standing  nearby,who is five feet two inches tall,  casts a shadow that is 50 inches long. How  tall is the tree to the nearest foot? 37 ft 7.5 HW pg. 4­22 evens & 37 1
  • 2. 6.5 SSS & SAS Similarity Theorems November 18, 2011 6.5 Prove Triangles Similar by SSS & SAS SSS Similarity Theorem: If the corr. sides of 2 s are proportional, then the s are ~. A R If AB = BC = CA, then ABC ~ RST RS ST TR S T C B HW pg. 4­22 evens & 37 2
  • 3. 6.5 SSS & SAS Similarity Theorems November 18, 2011 HW pg. 4­22 evens & 37 3
  • 4. 6.5 SSS & SAS Similarity Theorems November 18, 2011 SAS Similarity Theorem: If an < is ≅ to another < in 2nd and the included sides are proportional, then the are ~. M X If <X≅<M & ZX = XY, then XYZ ~ MNP PM MN P N Z Y HW pg. 4­22 evens & 37 4
  • 5. 6.5 SSS & SAS Similarity Theorems November 18, 2011 HW pg. 4­22 evens & 37 5
  • 6. 6.5 SSS & SAS Similarity Theorems November 18, 2011 p g. HW391 #4-22 evens & 37 HW pg. 4­22 evens & 37 6