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Inductive Reasoning and Deductive Reasoning
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Types of Statements

Many people use logic and deductive reasoning in performing their tasks. In geometry, you begin with accepted statements and properties, then use logic and deductive reasoning to prove other statements.

Logic allows you to evaluate the correctness of arguments and reasoning. Arguments are composed of several statements that are either true or false, but not both.


Definition

A statement is a sentence that can either be true or false but cannot be both.


Example

Which of the following is a (are) statement(s)? Which of the statements is (are) true?

1. A right angle measures 90°.
2. Help!
3. 2+3<5


Solution

Sentences 1 and 3 are mathematical statements while sentence 2 is not. Statement 1 is true while statement 3 is false.