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Postulates for Proving Triangle Congruence

Explore SSS, SAS, and ASA postulates to prove triangles congruent. Understand when sides and angles match to demonstrate equality in geometric shapes. Examples included for clarity.

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Postulates for Proving Triangle Congruence

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  1. Section 4-2 Some Ways to Prove Triangles Congruent

  2. POSTLATES:

  3. SSS Postulate • (Side-Side-Side) If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

  4. C D F A B E Example: By SSS Postulate, ABCDEF

  5. 2. SAS Postulate (Side-Angle-Side) If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

  6. B A D C Example: By SAS Postulate, ABD CDB

  7. 3.ASA Postulate (Angle-Side-Angle) If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

  8. B C E A Example: D By ASA Postulate, ABCDEC

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