Triangle Congruence Investigation

Caroline Psutka, oabdelrehim, 10.10.2024

What consecutive triangle parts must be congruent to show that two triangles are congruent? These applets allow students to explore whether triangle relationships (SSS, AAA, SAS, SSA, ASA, AAS) force triangles to be congruent or not. Are you able to create a non-congruent pair of triangles?


  • 1. SSS - 3 pairs of congruent sides
  • 2. AAA- 3 pairs of congruent angles
  • 3. SAS- 2 Congruent Sides with Congruent Angle in Between
  • 4. SSA- 2 Congruent Sides with a Congruent Angle NOT in between
  • 5. ASA- 2 Pairs of Congruent Angles with a Congruent Side in between
  • 6. AAS- 2 Pairs of Congruent Angles with a Congruent Side NOT inbetween

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SSS - 3 pairs of congruent sides

– Caroline Psutka

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