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4.5 notes 4.5 notes Document Transcript

  • 4.5 ASA & AAS Congruence Theorems October 18, 2012 Is there enough given information to prove the  triangles congruent? If there is, state the postulate  or theorem. B E L L W O R K Oct 26­9:59 AMHW pg. 252 #3­19 odd, 31 & 33 1
  • 4.5 ASA & AAS Congruence Theorems October 18, 2012 4.5 Prove Triangles Congruent by ASA & AAS 4.  Angle­Side­Angle (ASA) *2 angles and the INCLUDED side If 2 angles & the included side of one ∆ are  ≅ to the 2 angles and included side  of another ∆, then the ∆’s are  ≅ . Y M P X N W 5.  Angle­Angle­Side (AAS or SAA) *2 angles and the NON included side If 2 angles and the non­included side of one ∆ are  ≅ to the 2 angles and non­ included  side of another ∆,then the ∆’s are  ≅ . E B F A C D Oct 25­1:46 PMHW pg. 252 #3­19 odd, 31 & 33 2
  • 4.5 ASA & AAS Congruence Theorems October 18, 2012 Oct 25­2:00 PMHW pg. 252 #3­19 odd, 31 & 33 3
  • 4.5 ASA & AAS Congruence Theorems October 18, 2012 Other Scenarios 1.  Angle­Angle­Angle (AAA) *** This scenario only proves that 2 triangles are similar. *** No triangle congruency can be determined.   2.  Side­Side­Angle (SSA) *** No conclusion can be made from S­S­A Oct 25­1:54 PMHW pg. 252 #3­19 odd, 31 & 33 4
  • 4.5 ASA & AAS Congruence Theorems October 18, 2012 HW pg. 252 #3­19 odd, 31 & 33 Oct 25­2:02 PMHW pg. 252 #3­19 odd, 31 & 33 5