100 likes | 371 Views
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
E N D
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 Transitive Property
Reflexive Property Words Everything is equal (congruent) to itself Symbols AB = AB AB = AB ~
Symmetric Property Words You can flip an equation or congruence Symbols If AB = CD, then CD = AB If AB = CD, then CD = AB ~ ~
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 ~ ~ ~