# Texas-CCISD School District Geometry Chapter 2 Flashcards

### 15 terms by black_moon22

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### Inductive reasoning

The process of reasoning that a rule or statement is true because specific cases are true.

### Conjecture

A statement that is believed to be true.

### Counterexample

An example that proves that a conjecture or statement is false.

### Conditional Statement

A statement that can be written in the form "if p, then q," where p is the hypothesis and q is the conclusion.

### Hypothesis of a Conditional Statement

The part of a conditional statement following the word if.

### Conclusion of a Conditional Statement

The part of a conditional statement following the word then.

### Truth value of a Conditional Statement

A statement can have a truth value of true (T) or false (F).

### Negation

The negation of statement p is "not p," written as ~p.

### Converse of a Conditional Statement

A statement formed by exchanging the hypothesis and conclusion of a conditional statement.

### Inverse of a Conditional Statement

A statement that negates both the hypothesis an conclusion in a conditional statement.

### Contrapositive of a Conditional Statement

The statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement.

### Logically equivalent

A statement that has the same truth value.

### Deductive Reasoning

The process of using logic to draw conclusions from given facts, definitions, and properties.

### Law of Detachment

If p ➡ q is a true conditional statement and p is true, than q is true.

### Law of Syllogism

If p ➡q and q➡r are ture conditional statements, then p➡r is true.

Example:

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