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Chapter 2: Reasoning and Proof
High School Geometry vocabulary for Reasoning and Proof
16
Mathematics
9th Grade
10/19/2011

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Term
Conditional Statement
Definition
a logical statement containing a hypothesis and a conclusion.
Term
if-then form
Definition
A conditional statement written so the "if" part contains the hypothesis and the "then" part contains the conclusion.
Term
Hypothesis
Definition
The "if" part of a conditional statement.
Term
Conclusion
Definition
The "then" part of a conditional statement.
Term
Converse
Definition
A statement formed by switching the hypothesis and the conclusion.
Term
Negation
Definition
The negative or opposite of a statement.
Term
Inverse
Definition
A statement formed by negating the hypothesis and the conclusion.
Term
Contrapositive
Definition
A statement formed by negating the hypothesis and the conclusion of the converse of the statement.
Term
Equivalent Statements
Definition
When two statements are both true or both false.
Term
Perpendicular Lines
Definition
Two lines that intersect at a right angle.
Term
Line Perpendicular to a Plane
Definition
A line that intersects a plane in a point and is perpendicular to every line in the plane that intersects it.
Term
Biconditional Statement
Definition
a statement that contains the phrase "if and only if".
Term
Logical Argument
Definition
Deductive reasoning that uses facts, definitions, and accepted properties in a logical order.
Term
Theorem
Definition
A true statement that follows as a result of other true statements.
Term
Two-Column Proof
Definition
A proof using numbered statements and reasons to show the logical order of an argument.
Term
Paragraph Proof
Definition
The logical flow of an argument written in sentence form.
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