Two triangles are congruent IF Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, or Angle-Angle-Side are congruent.
| Step | Reason |
|---|---|
| Given information | Given |
| Something that leads to the conclusion that two of the sides or two of the angles previously unrelated are, in fact, congruent | Theorem or Postulate that proves this step. |
| Something that leads to the conclusion that a different pair of sides or angles previously unrelated are, in fact, congruent | Theorem or Postulate that proves this step. |
| Keep doing this until you have shown an SSS, SAS, ASA, or AAS relationship exists, at which point state that the triangles are congruent | correct Triangle Congruence Theorem that proves this step. |
| Q.E.D. |
John