Inductive and Deductive Reasoning Flashcards

Geometry Chapter 2 Geometric Reasoning Vocab Words

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Inductive Reasoning
Is the process of reasoning that rule or statement is true because specific cases are true.
Conjecture
A statement you believe to be true based on inductive reasoning is called a conjecture.
Counterexample
A counterexample can be a drawing, a statement, or a number.
Conditional Statement
Is a statement that can be written in the form ''if p, then q.''
Hypothesis
Is the part p of a conditional statement following the word if.
Conclusion
Is the part q of a conditional statement following the word then.
Truth Valve
Of either true (T) or false (F).
Negation
Of statement p is ''not p,'' written as ~ p.
Converse
Is the statement formed by exchanging the hypothesis and conclusion.
Inverse
Is the statement formed by negating the hypothesis and the conclusion.
Contrapositive
Is the statement formed by both exchanging and negating the hypothesis and conclusion.
Logically Equivalent Statements
A conditional and its contrapositive are logically equivalent, and so are so are the converse and inverse.
Deductive Reasoning
Is the process of using logic to draw conclusions from the given facts, definitions, and properties.
Polygon
Is defined as a closed figure formed by three or more line segments.
Triangle
Is defined as a three-sided polygon.