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### 6.5 notes

1. 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 7.5HW pg. 4­22 evens & 37 1
2. 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 BHW pg. 4­22 evens & 37 2
3. 3. 6.5 SSS & SAS Similarity Theorems November 18, 2011HW pg. 4­22 evens & 37 3
4. 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 YHW pg. 4­22 evens & 37 4
5. 5. 6.5 SSS & SAS Similarity Theorems November 18, 2011HW pg. 4­22 evens & 37 5
6. 6. 6.5 SSS & SAS Similarity Theorems November 18, 2011 p g. HW391 #4-22 evens & 37HW pg. 4­22 evens & 37 6