Ch 1 Vocabulary Flashcards
The ___________of the conditional “if p, then q” is the conditional “ if not p then not q”
inverse
The _______of a statement is true or false.
Truth Value
A ray that divides an angle into two congruent angles
Angle Bisector
A convincing argument that uses deductive reasoning
Proof
A type of reasoning that reaches conclusions based on a pattern.
Inductive
The ______of the conditional “ if p then q” is the conditional “ if not q, then not p”
Contrapositive
A geometric figure made with only a straightedge and compass
Construction
Deductive reasoning that allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other
Law of Syllogism
an If-then statement that relates a hypothesis to a conclusion
Conditional
________of a segment, line or ray that is perpendicular to the segment at its midpoint.
Perpendicular bisector
An accepted statement of fact
postulate
statement obtained by reversing the hypothesis and conclusion of a conditional
converse
a conjecture that is proven
theorem
The process of reasoning logically from given facts
Deductive reasoning
deductive reasoning that allows you to state a conclusion is true, if the hypothesis is true
Law of Detachment
the _____of a statement has the opposite meaning
negation
an example showing that a statement is false
counterexample
A location in space
point
A path that connects two points and extends in both directions without end
line
two or more points on the same line
collinear
A flat surface that extends without end in all directions
plane
the point that divides a segment into two congruent segments
midpoint
The part of a conditional statement that follows “if”
hypothesis
The part of a conditional statement that follows “then”
conclusion
a pair of adjacent angles whose noncommon side form a line
linear pair
a part of a line that contains two endpoints
segment
a part of a line that contains one endpoint and continues without end in the other direction
ray
formed by two rays that have a common endpoint(vertex)
angle
an unproven statement or rule that is based on inductive reasoning
conjecture
combination of a conditional and its converse, it contains the words “if and only if”
biconditional
