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### Proving Triangles Congruent Sss, Sas Asa

• 1. Proving Triangles Congruent Free powerpoints at http://www.worldofteaching.com
• 2. Two geometric figures with exactly the same size and shape. The Idea of a Congruence A C B D E F
• 3. How much do you need to know. . . . . . about two triangles to prove that they are congruent?
• 4.
• 5. Do you need all six ? NO !
• 6.
• 7.
• 8. The angle between two sides Included Angle  G  I  H
• 9. Name the included angle: Y E and E S E S and Y S Y S and Y E Included Angle  E  S  Y S Y E
• 10.
• 11. The side between two angles Included Side GI HI GH
• 12. Name the included side:  Y and  E  E and  S  S and  Y Included Side YE ES SY S Y E
• 13.
• 14. Warning: No SSA Postulate A C B D E F NOT CONGRUENT There is no such thing as an SSA postulate!
• 15. Warning: No AAA Postulate A C B D E F There is no such thing as an AAA postulate! NOT CONGRUENT
• 16.
• 17. Name That Postulate SAS ASA SSS SSA (when possible)
• 18. Name That Postulate (when possible) ASA SAS AAA SSA
• 19. Name That Postulate (when possible) SAS SAS SAS Reflexive Property Vertical Angles Vertical Angles Reflexive Property SSA
• 20. Name That Postulate (when possible)
• 21. (when possible) Name That Postulate
• 22. 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
• 23. Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS: For AAS:
• 24. Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible . Δ GIH  Δ JIK by AAS Ex 4 G I H J K
• 25. Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible . Δ ABC  Δ EDC by ASA Ex 5 B A C E D
• 26. Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible . Δ ACB  Δ ECD by SAS B A C E D Ex 6
• 27. Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible . Δ JMK  Δ LKM by SAS or ASA J K L M Ex 7
• 28. Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible . Not possible K J L T U Ex 8 V
• 29. WORK
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