Triangle Congruence

Azucena Overman, Brian Slocum, Aug 28, 2018

Explore why the various triangle congruence postulates and theorems work.


  • 1. SSS Triangle Congruence Exploration
  • 2. SAS Exploration
  • 3. SSA exploration
  • 4. SSA triangle: The Ambiguous Case
  • 5. ASA Exploration
  • 6. AAS Exploration
  • 7. HL Exploration

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SSS Triangle Congruence Exploration

Set the segments to the desired length. [br]For each combination of side lengths, rotate the segments at C1 and C2 to determine the triangles you can create. [br][br]·       Are you able to create more than one unique triangle for each combination of side lengths?[br]·       What does this tell you?[br]·       If the condition creates congruent triangles, describe what rigid motions could be used to test they are congruent.
– Brian Slocum, Azucena Overman

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