Chapter2 Flashcards
The part following if in if then statement
Hypothesis
Another name for an if then statement. Every conditional has two parts
Conditional
The part following then in if then statement
Conclusion
If a conditional is true or false
Truth value
In a conditional the hypothesis and conclusion switched
Converse
When converse and conditional combine it is this
Biconditional
The process of reasoning logically for a gown statement to a conclusion if the statement is true this give a true conclusion
Deductive reasoning
If a conditional is true and it’s hypothesis is true then it’s conclusion is tre
Law of detachment
If p-> a is a true statement and p is the then q is true
Symbolic form
If p-> q and q->r are true statements then p->r is a true statement
Law of syllogism
If a=b=c=d then a+c =b+d
Addition Property of equality
If a equals b and c equals d then a minus c equals b minus d
Subtraction property of equality
If a equals b the ca equals cb
Multiplication property of equality
If a equals b and c does not equal 0 then a/c equals b/c
Division property of equality
A equals a
Reflexive property of equality
If a equals b then b equals a
Symmetric property of equality
If a equals B and B equals c then a equals c
Transitive property of equality
If a equals then b can replace a in any expression
Substitution property of of equality
A(b plus c) equals AB AC
Distributive property
De congruent to de
Reflexive property of congruency
Is de is congruent to FG then FG is congruent to de
Symmetric property of congruency
If de is congruent to FG and FG is congruent jk the de is congruent jk
Transitive property of congruency
Vertical angles are congruent
Theorem
Theorem 2-1 vertical angles theorem
If two angles are supplements of the same angle or of congruent angles then the two angles are congruent
Theorem 2-2 congruent supplements theorem
If two angles are complement of the same angle then the two angles are congruent
Theorem 2-3 congruent complements
All right angles are congruent
Theorem 2-4
If two angles are congruent and supplementary then each is a right angle
Theorem 2-5