Section 2.5: Proving Statements about Segments

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Reflexive example: AB = AB Symmetric example: AB = BA

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Presentation transcript:

Section 2.5: Proving Statements about Segments

Definitions Theorem: A true statement that follows as a result of other true statements. We can prove theorems using two-column proofs, which show numbered statements/steps along with their reasons that show the logical order of an argument.

Theorem 2.1 – Properties of Segment Congruence Reflexive For any segment AB, AB ≅ AB Symmetric If AB ≅ CD, then CD ≅ AB Transitive If AB ≅ CD, and CD ≅ EF, then AB ≅ EF REMEMBER: Put in the Definitions/Properties/ Postulates/Theorems/Formulas portion of your notebook