Exploring Triangle Congruence

dgibson, Mrs. Cole, Nov 5, 2018

This set of explorations is designed to help students experiment and draw conclusions about the criteria for testing triangle congruence.


  • 1. Copy of SSS Exploration
  • 2. Copy of AAA Exploration
  • 3. Copy of SAS Exploration
  • 4. Copy of ASA Exploration
  • 5. Copy of SSA Exploration
  • 6. Copy of AAS Exploration

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Copy of SSS Exploration

In the exploration below, all of the segments in the image are set to have lengths that are congruent to their corresponding object, but you are able to manipulate all three of the angles. Experiment by moving the points around in order to test the theory that Side-Side-Side is a criteria for triangle congruence. Is it possible to make the second triangle different than the first, or are they always congruent?
Answer the questions above here. What conclusions can you make about whether SSS can be used as a way to find two triangles congruent?
– Mrs. Cole, dgibson

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