The congruence of triangles can be verified using several postulates and theorems, including the Side-Side-Side (SSS) postulate, which states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. Another is the Side-Angle-Side (SAS) theorem, which asserts that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. Additionally, the Angle-Side-Angle (ASA) theorem and the Angle-Angle-Side (AAS) theorem also confirm triangle congruence based on specific angle and side relationships.
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