geometry ch 2
Terms
undefined, object
copy deck
- A type of logical statement that has two parts, a hypothesis and conplusion
- conditional statement
- a form of a conditional statement using "if" and "then" the if is the hypothesis and then is the conclusion.
- If-then statement
- The statement formed by switching the hypothesis and conclusion of a conditional statement.
- converse
-
The negative of a statement
symbol: ~ - negation
- statement formed when negating the hypothesis and conclusion of a conditional statement
- inverse
- statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement.
- contropositive
- two statements that are both true or both false.
- equivalent statements
-
two lines that intersect to form a right angle
symbol:(upside down T) - perpendicular lines
- a line that intersects the plane in a point and is perpendicular to ever line in the plane that it intersects it
- line perpendcular to a plane
-
a statement that that contains the phrase "if and only if"
symbol: ‹―› - biconditional statement
- an argument based on deductive reasoning, which use facts, definitions, and accepted properties in a logical order.
- logical argument
- if p―›q is a true conditional statement and p is true, then q is true
- Law of Detachment
- if p―›q and q―›r are true conditional statements, then p―›r is true
- Law of Syllogism
- a true statement that follows as a result of other true statements.
- theorum
- a type of proof written as numbered statements and reasons that show the logical order of an argument.
- two-column proof