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