Definition--Geometry Basics--Contrapositive Statement
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Geometry >> Points and Lines >> Definition of a Point

Definition--Geometry Basics--Contrapositive Statement

Contrapositive Statement

Contrapositive Statement

Topic

Geometry Basics

Definition

A contrapositive statement is formed by negating both the hypothesis and conclusion of a conditional statement and then reversing them.

Description

The contrapositive of a conditional statement is logically equivalent to the original statement. This concept is important in logical reasoning and proofs. For example, the contrapositive of "If it is raining, then the ground is wet" is "If the ground is not wet, then it is not raining." Understanding contrapositives helps in constructing valid arguments and proving mathematical theorems.

Contrapositive
What is the contrapositive of this situation?

For a complete collection of terms related to Geometry Basics click on this link: Geometry Basics Collection

Common Core Standards CCSS.MATH.CONTENT.HSG.CO.A.1
Grade Range 8 - 10
Curriculum Nodes Geometry
    • Points and Lines
        • Definition of a Point
Copyright Year 2020
Keywords logic