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(when possible) Bell Ringer   Name That Postulate
Angle – Side – Angle Postulate  ,[object Object]
Angle-Side- Angle  (ASA) ,[object Object],[object Object],[object Object], ABC        DEF B A C E D F included  side
The side  between  two angles Included Side GI HI GH
Name the  included  side:  Y and   E  E and   S  S and   Y Included Side YE ES SY S Y E
Angle – Angle  – Side Postulate  ,[object Object]
Angle-Angle-Side (AAS) ,[object Object],[object Object],[object Object], ABC        DEF B A C E D F Non-included  side
Warning:  No SSA Postulate A C B D E F NOT CONGRUENT There is no such thing as an SSA postulate!
Warning:  No AAA Postulate A C B D E F There is no such thing as an AAA postulate!  NOT CONGRUENT
Name That Postulate SAS ASA SSS SSA (when possible)
Let’s Practice Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA:  For SAS:  B      D For AAS:  A      F AC     FE
You try! Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA:  For SAS: For AAS:

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TechMathI - 4.2 - Proving Triangles Congruent

  • 1. (when possible) Bell Ringer Name That Postulate
  • 2.
  • 3.
  • 4. The side between two angles Included Side GI HI GH
  • 5. Name the included side:  Y and  E  E and  S  S and  Y Included Side YE ES SY S Y E
  • 6.
  • 7.
  • 8. Warning: No SSA Postulate A C B D E F NOT CONGRUENT There is no such thing as an SSA postulate!
  • 9. Warning: No AAA Postulate A C B D E F There is no such thing as an AAA postulate! NOT CONGRUENT
  • 10. Name That Postulate SAS ASA SSS SSA (when possible)
  • 11. Let’s Practice Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS:  B   D For AAS:  A   F AC  FE
  • 12. You try! Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS: For AAS: