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Proving Segment Relationships

Proving Segment Relationships. A. B. L. M. Ruler Postulate. Any line segment can be measured with a ruler. Segment Addition Postulate. If B is between A and C, then AB + BC = AC. A. C. B. AB + BC = AC. Properties from Algebra. Don't copy. Reflexive Property Symmetric Property

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Proving Segment Relationships

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  1. Proving Segment Relationships

  2. A B L M Ruler Postulate Any line segment can be measured with a ruler

  3. Segment Addition Postulate If B is between A and C, then AB + BC = AC A C B AB + BC = AC

  4. Properties from Algebra Don't copy Reflexive Property Symmetric Property Transitive Property

  5. Reflexive Property Words Everything is equal (congruent) to itself Symbols AB = AB AB = AB ~

  6. Symmetric Property Words You can flip an equation or congruence Symbols If AB = CD, then CD = AB If AB = CD, then CD = AB ~ ~

  7. Transitive Property Words Equal or congruence “Chains” Symbols If AB = CD and CD = EF, then AB = EF If AB = CD and CD = EF, then AB = EF ~ ~ ~

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