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18 terms

10th Grade Geometry - Chapter 2

STUDY
PLAY
law of syllogism
if p ➡q and q➡r are true conditional statements then p➡r is true
biconditional statement
a statement that contains the phrase "if and only if" the symbol for "if and only if" is ↔
theorem
a true statement that follows as a result of other true statements
equivalent statement
two statements that are both true of both false
line perpendicular to a plane
a line that intersects the plane in in a point and is perpendicular to every line in the plane that intersects it
converse
the statement formed by switching the hypothesis and conclusion of a conditional statement
hypothesis
the "if" part of a conditional statement
conditional statement
has two parts, a hypothesis and a conclusion.
two-column proof
a type of proof written as numbered statements and reasons that show the logical order of an argument
conclusion
the "then" part of a conditional statement
perpendicular lines
two lines that intersect to form a right angle. the smybol for "is perpendicular to" is ⊥
negation
the negative of a statement. the negation symbol is ~
law of detachment
if p ➡ q is a true conditional statement and p is true, than q is true
paragraph proof
a type of proof written in paragraph form
if-then form
the "if" part contains the hypothesis and the "then" part contains the conclusion.
logical argument
an argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order
contrapositive
the statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement
inverse
the statement formed when you negate the hypothesis and conclusion of a conditional statement