Conditional Statements

Conditional Statements

Author: chris ludbrook


Create and use conditional statements and their converses.
Create and use biconditional statements.
Use counterexamples to determine if a conditional statement is false.
Create and use indirect proofs to determine if a statement is true or false.

In this section we will begin to develop arguments that are supported by our understanding of the properties of geometry.  Conditional statements and their converses are important in helping us decide when properties hold and when they do not.  We will use our understanding of the properties of points, lines and planes to help us answer questions involving conditional statements and to determine their validity in specific or general contexts.                    

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Conditional statements are written in the if-then format and show relationships.

Counterexamples and Indirect Proofs

Counter examples helps us determine if a conditional statement is false. Why? Because if we can find one example that is false, then the statement is false. Indirect proofs allow us to prove statements are false by using counterexamples.

Examples of Counterexamples

This site has some opportunities to identify possible mathematical counterexamples.