# By: James Ryden and Evan Greenberg By: James Ryden and Evan Greenberg By: James Ryden and Evan...

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- Slide 1
- By: James Ryden and Evan Greenberg By: James Ryden and Evan Greenberg By: James Ryden and Evan Greenberg By: James Ryden and Evan Greenberg
- Slide 2
- IIdentify and use the Algebraic Properties of Equality. IIdentify and use the Equivalence Properties of Equality and of Congruence LLink the steps of a proof by using properties and postulates
- Slide 3
- Additio Property- if a=b, then a+c=b+c Subtraction Property- if a=b, then a-c=b- c Multiplication Property- if a=b, then ac=bc Division Property- if a=b, and c does not =0, then a/c=b/c Substitution Property- if a=b, you may replace a with b in any true equation containing a and the resulting equation will be still be true Overlapping Segments Theorem-given a segment of points a, b, c, and d (in order) the following statements are true: if ab=cd then ac=bd if ac=bd then ab=cd
- Slide 4
- Reflexive Property of Equality-for any real number a, a=a Symmetric Property of Equality-for all real numbers a and b, if a=b then b=a Transitive Property of Equality-for all real numbers a, b, c, if a=b and b=c, then a=c Reflexive Property of Congruence-if figure a is congruent to figure b, then figure b is congruent to figure a Overlapping Angles Theorem-Given