Proving Two Triangles are Congruent

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Discussion Overview

The discussion revolves around the conditions for proving two triangles are congruent, focusing on the Side-Angle-Side (SAS), Side-Side-Side (SSS), and Angle-Side-Angle (ASA) criteria. Participants explore how to apply these conditions in specific scenarios.

Discussion Character

  • Technical explanation, Homework-related

Main Points Raised

  • Dan asks for the three conditions for triangle congruence, suggesting SAS, SSS, and ASA as potential criteria.
  • Dan encourages further exploration of the SSS condition by asking how to demonstrate that BN equals GI in a specific triangle configuration.
  • Dan mentions the use of supplementary angles in the second triangle to aid in proving congruence.

Areas of Agreement / Disagreement

Participants appear to agree on the basic conditions for triangle congruence, but the application of these conditions in specific cases remains open for exploration and is not resolved.

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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