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Geometry - logic
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Terms in this set (13)
conditional statement
A statement in the form: "If ... then..."; example:
If p, then q
If (x + 1) = 5, then x = 4.
Hypothesis or Premise
the part of a conditional statement, following the word, "If..."
inductive reasoning
a process of reasoning, a rule or statement that's true because specific cases are true.
conclusion
the part of a conditional statement, following the word "then..."
inverse
a statement formed by negating the hypothesis and conclusion of a conditional statement
If NOT (x+1) = 5, then NOT x =4
bi-conditional statement
A statement that can be written in the form "p if AND ONLY IF q"
Venn diagram
a diagram to show relationships between sets, also used to compare and contrast
2-column proof
a style of proof where the statements on the left, and the reasons are in the right column.
flow chart proof
style of proof that uses boxes and arrows to show structures of proofs
deductive reasoning
process of using logic to draw conclusions
contrapositive
statement formed by 2 things: (1) exchanging and negating the hypothesis (premise) and (2) conclusion of a conditional statement.
converse
a statement formed by exchanging the hypothesis (premise) and conclusion of a conditional statement
inductive reasoning
the process of arriving at a conclusion based on a set of observations
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