Proofs with Congruence Postulate w/ abbreviation It means… Example with Picture Definition of midpoint Midpoint Theorem Definition of Angle Bisector VAT Vertical Angle Theorem ______= ______ ______= ______ ______= ______ ______= ______ Cut the gray area off each sheet and staple together at the top. Proofs with Congruence Equal Parts: part = part

Reflexive, Symmetric, Transitive Algebra Segments Angles Reflexive Symmetric Transitive Substitution Reflexive Symmetric Transitive Substitution Cut the gray area off each sheet and staple together at the top. Draw pictures to help you remember Reflexive, Symmetric, Transitive Works with any Equal Parts

Same thing to BOTH SIDES of the = sign Property w/ abbreviation It means… Example… Addition Subtraction Multiplication Division Substitution (combine like terms) (replace or plug in) Distributive Cut the gray area off each sheet and staple together at the top. Algebraic Proofs Same thing to BOTH SIDES of the = sign

Proofs with Addition Postulate/ Theorem Example with Picture It means… w/ abbreviation It means… Example with Picture SAP Segment Addition Property AAP Angle CAT Complementary Angles Theorem SAT Supplementary Angles ____+ ____ = ____ ____+ ____ = ____ Cut the gray area off each sheet and staple together at the top. ____+ ____ = ____ ____+ ____ = ____ Proofs with Addition part + part = whole