This is the "2.5: Proving Stmnt about Segments" page of the "Geometry Chapter 2" guide.
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Geometry Chapter 2   Tags: geometry, mahlman, math  

Last Updated: Feb 19, 2014 URL: http://libguides.mpsaz.net/content.php?pid=108295 Print Guide RSS Updates

2.5: Proving Stmnt about Segments Print Page
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Theorems

Definition of Congruency:   PQ XY if and only if  PQ = XY
Midpoint: S is the midpoint of AB if and only if AS = SB
Segment Addition Postulate B is between A and C, if and only if AB + BC = AC
Addition Prop.Of Equalities: DA = BE if and only if DA + CF = BE + CF
Subtraction Prop. Of Equalties DA = BE if and only if DA - CF = BE - CF
Mult. Prop. Of Equalities: DA = BE if and only if DA(CF) = BE (CF)
Division Prop Of Equalities: DA = BE if and only if DA¸ CF = BE¸ CF
Reflective Properties: DA = DA
Symmetric Prop.: DA = CF if and only if CF = DA
Transitive Property: AB = CD and CD = EF if and only if AB = EF
Substitution Property: If AB = CD, then AB can be used for any equation or expression including CD

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