| A | B |
|---|
| POSTULATE | A RULE . WITH TRIANGLES POSTULATES CAN BE USED TO PROVE TWO TRIANGLES ARE CONGRUENT BY COMPARING ONLY THREE PAIRS OF CORRESPONDING PARTS . |
| SIDE - SIDE - SIDE CONGRUENCE POSTULATE ( SSS ) | TWO TRIANGLES ARE CONGRUENT IF THE THREE SIDES OF ONE TRIANGLE ARE CONGRUENT TO THE CORRESPONDING THREE SIDES OF THE OTHER TRIANGLE |
| SIDE - ANGLE - SIDE CONGRUENCE POSTULATE ( SAS ) | TWO TRIANGLES ARE CONGRUENT IF TWO SIDES AND THE INCLUDED ANGLE OF ONE TRIANGLE ARE CONGRUENT TO THE CORRESPONDING TWO SIDES AND INCLUDED ANGLE OF THE OTHER TRIANGLE |
| ANGLE - SIDE - ANGLE CONGRUENCE POSTULATE ( ASA ) | TWO TRIANGLES ARE CONGRUENT IF TWO ANGLES AND THE INCLUDED SIDE ON ONE TRIANGLE ARE CONGRUENT WITH THE CORRESPONDING TWO ANGLES AND INCLUDED SIDE OF THE OTHER TRIANGLE |
| ANGLE - ANGLE - SIDE CONGRUENCE POSTULATE ( AAS ) | TWO TRIANGLES ARE CONGRUENT IF TWO ANGLES AND A NON - INCLUDED SIDE OF ONE TRIANGLE ARE CONGRUENT TO THE CORRESPONDING TWO ANGLES AND NON - INCLUDED SIDE OF THE OTHER TRIANGLE |
