Proving Two Triangles are Congruent

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SUMMARY

The discussion centers on the three conditions for proving two triangles are congruent: Side-Angle-Side (SAS), Side-Side-Side (SSS), and Angle-Side-Angle (ASA). Participants emphasize the importance of demonstrating equality of sides and angles, specifically mentioning the need to show that segments BN and GI are equal. Supplementary angles are also highlighted as a useful tool in proving congruence in certain cases.

PREREQUISITES
  • Understanding of triangle properties and definitions
  • Familiarity with congruence criteria: SAS, SSS, ASA
  • Basic knowledge of supplementary angles
  • Ability to apply geometric proofs
NEXT STEPS
  • Study detailed proofs for SAS, SSS, and ASA congruence criteria
  • Explore geometric properties of supplementary angles in triangle congruence
  • Practice solving problems involving triangle congruence
  • Learn about other congruence criteria such as AAS (Angle-Angle-Side)
USEFUL FOR

Students studying geometry, educators teaching triangle properties, and anyone preparing for standardized tests involving geometric proofs.

bearn
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What are the three conditions for two triangles to be congruent?

-Dan
 
topsquark said:
What are the three conditions for two triangles to be congruent?

-Dan
SAS, SSS and ASA?
 
bearn said:
SAS, SSS and ASA?
Good! Now, try for SSS on the first one. Is there any way you can show that BN = GI? For the second one, do the same trick but now you have a couple of supplementary angles to work with. Give it a try.

-Dan
 

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