Exploring Triangle Congruence

dgibson, David Boudreaux, Sep 19, 2017

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


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

1.

AAA Exploration

In the given exploration, all three angles of the triangle on the right are fixed so that they are always congruent to their corresponding angle in the triangle on the left. You are free to manipulate all the vertices of triangle ABC, as well as the side lengths and position of triangle A'B'C'. [br][br]Can you find a way to make the two triangles look different? [br][br]Do you notice any special relationships between the side lengths of the two triangles?
– David Boudreaux, dgibson

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