A conditional statement is an "if-then" statement used in geometry to relate a particular hypothesis to its conclusion. An arrow originating at the hypothesis, denoted by p, and pointing at the conclusion, denoted by q, represents a conditional statement.
Definition: A conditional statement, symbolized by p q, is an if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion. A truth table for p q is shown below.
What Are Conditional Statements? If I help you get an A in math, then you will give me ten thousand dollars. I like this statement. Do you? You might be laughing and saying to yourself 'yeah right ...
A conditional statement in math is a statement in the if-then form. Conditional statements, often called conditionals for short, are used extensively in a form of logic called deductive reasoning. ...
A conditional statement is false if hypothesis is true and the conclusion is false. The example above would be false if it said "if you get good grades then you will not get into a good college". If we re-arrange a conditional statement or change parts of it then we have what is called a related conditional.
The converse in geometry applies to a conditional statement. In a conditional statement, the words "if" and "then" are used to show assumptions and conclusions that are to be arrived at using logical reasoning. This is often used in theorems and problems involving proofs in geometry.
A biconditional statement is a combination of a conditional statement and its converse written in the if and only if form. Two line segments are congruent if and only if they are of equal length. It is a combination of two conditional statements, “if two line segments are congruent then they are ...
Converse, Inverse, Contrapositive Given an if-then statement "if p , then q ," we can create three related statements: A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause.
In the truth table above, when p and q have the same truth values, the compound statement (p q) (q p) is true. When we combine two conditional statements this way, we have a biconditional. Definition: A biconditional statement is defined to be true whenever both parts have the same truth value.The biconditional operator is denoted by a double-headed arrow .