Chapter 2 Flash cards
Reason
A reason is an explanation
Counter example
Proves a statement is false
If
Hypothesis
Then
Conclusion
Converse
If and then statements have been switched
Conditional
Use the given hypothesis and conclusion
Inverse
Negate both the hypothesis and the conclusion of the conditional
Contrapositive
Negate both the hypothesis and the conclusion of the converse
Deduce
To use known facts to reach a conclusion
Law of Detachment
If the hypothesis of a conditional is true, then the conclusion is true
Law of Syllogism
You can state a conclusion from two conditional statements when the conclusion of one of statement is the hypothesis of the other statement
Justify
To justify a step in a solution means to provide a mathematical reason why the step is correct
Associative
Regrouping
(a+b)+ c = a+(b+c)
(ab)c = a(bc)
Commutative
To move places
a + b = b + a
ab = ba
Subtraction Property of Equality
If a = b, then a - c = b - c
Substitution Property of Equality
If a = b, then b can replace a in any equation
If a = b and c = b then a = c
Multiplication Property of Equality
If a = b, then a X c = b X c
Division Property of Equality
If a = b, and c /=/ 0 then a/c = b/c
Transitive Property of Equality
If a = b and b = c, then a = c
Symmetric Property of Equality
If a = b, then b = a
Reflexive Property of Equality
a = a
Addition Property of Equality
If a = b, then a + c = b + c
Distributive Property
a(b + c) = ab + ac
Theorem
A conjecture or statement that you prove
Theorem 2-1: Vertical Angles Theorem
Vertical angles are congruent
