Conditional Statements

Rating:

(3)

- (1)
- (1)
- (0)
- (0)
- (1)

Author: chris ludbrook

Description:

• 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.

(more)

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial

No credit card required

38 Sophia partners guarantee credit transfer.

299 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 33 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

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.

Source: http://webspace.ship.edu/deensley/discretemath/flash/ch2/sec2_1/counterexamples/control21.html

Rating