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The postulates that involve congruence are the following :

  • SSS (Side-Side-Side) Congruence Postulate - If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
  • SAS (Side-Angle-Side) Congruence Postulate - If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
  • ASA (Angle-Side-Angle) Congruence Postulate - If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

The two other congruence postulates are :

  • AA (Angle-Angle) Similarity Postulate - If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.
  • Corresponding Angles Postulate - If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
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Related Questions

Wwhich of the following are not congruence theorems or postulates?

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Similarity is where triangles have equal angles at each corner. Congruence is where triangles have sides of equal length.


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They are theorems that specify the conditions that must be met for two triangles to be congruent.


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Putting a question mark at the end of a few words does not make it a sensible question. Please try again.


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