Section Five
Proof- An argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true.
Addition Property of Equality- If a=b, then a+c=b+c.
Subtraction Property of Equality- If a=b, then a-c=b-c.
Multiplication Property of Equality- If a=b, then ac=bc.
Division Property of Equality- If a=b and c does not = 0, then a/c=b/c.
Reflexive Property of Equality- A=a.
Symmetric Property of Equality- If a=b, then b=a.
Transitive Property of Equality- If a=b and b=c, then a=c.
Substitution Property of Equality- If a=b, then b can be substituted for a in any expression.
Reflexive Property of Congruence- Figure a is congruent to figure a.
Symmetric Property of Equality- If figure A is congruent to figure b, then figure b is congruent to figure a.
Transitive Property of Congruence- If figure a is congruent to figure b and figure b is congruent to figure c, then figure a is congruent to figure c.
Addition Property of Equality- If a=b, then a+c=b+c.
Subtraction Property of Equality- If a=b, then a-c=b-c.
Multiplication Property of Equality- If a=b, then ac=bc.
Division Property of Equality- If a=b and c does not = 0, then a/c=b/c.
Reflexive Property of Equality- A=a.
Symmetric Property of Equality- If a=b, then b=a.
Transitive Property of Equality- If a=b and b=c, then a=c.
Substitution Property of Equality- If a=b, then b can be substituted for a in any expression.
Reflexive Property of Congruence- Figure a is congruent to figure a.
Symmetric Property of Equality- If figure A is congruent to figure b, then figure b is congruent to figure a.
Transitive Property of Congruence- If figure a is congruent to figure b and figure b is congruent to figure c, then figure a is congruent to figure c.