Triangle Congruence Investigation

Caroline Psutka, mkessler, 14/12/2021

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


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

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AAA- 3 pairs of congruent angles

– mkessler, Caroline Psutka

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