13 terms

# Geometry Ch.2

- conditional statements - biconditional statements - proofs -theorems -postulates
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Inverse
Negate the hypothesis & conclusion of a conditional statement
Contrapositive
Negate the hypothesis & conclusion of the converse of an original statement
Converse
A conditional statement formed by switching the hypothesis and conclusion
Biconditional statement
a statement that contains the phrase "if and only if"
Law of detachment
if p ➡ q is a true conditional statement and p is true, than q is true
Law of syllogism
if p ➡q and q➡r are true conditional statements then p➡r is true
Congruent Supplements Theorem
If 2 angles are supplementary to the same angle (or to congruent angles) then they are congruent
Congruent Complements Theorem
If 2 angles are complementary to the same angle (or to congruent angles) then they are congruent
Linear Pair Postulate
If 2 angles form a linear pair, then they are supplementary
Vertical Angles Theorem
Vertical angles are congruent
Right Angle Congruence Theorem
All right angles are congruent
Postulate
A statement accepted without a proof
Theorem
Statement that is proved