Triangle Congruence Investigation

Caroline Psutka, Mr. Grogaard, 07/02/2023

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, HL, SSA, ASA, AAS) force triangles to be congruent or not. Are you able to create a non-congruent pair of triangles?


  • 1. Copy of SSS - 3 pairs of congruent sides
  • 2. Copy of AAA- 3 pairs of congruent angles
  • 3. Copy of SAS- 2 Congruent Sides with Congruent Angle in Between
  • 4. Copy of HL- 1 Pair of Legs Congruent, 1 Pair of Hypotenuses Congruent, ONLY for right triangles
  • 5. Copy of SSA- 2 Congruent Sides with a Congruent Angle NOT in between
  • 6. Copy of ASA- 2 Pairs of Congruent Angles with a Congruent Side in between
  • 7. Copy of AAS- 2 Pairs of Congruent Angles with a Congruent Side NOT inbetween

1.

Copy of SSS - 3 pairs of congruent sides

Try moving the "click here" points and create a triangle.
Can you create a triangle that is different than the triangle on the left? Why or why not?
– Mr. Grogaard, Caroline Psutka

2.

–

3.

–

4.

–

5.

–

6.

–

7.

–

Informação