Conditional Statements
Definition 1: If-Then Statements: An if-then statement is just what the name says it is. It is a statement that proves if something happens then something else will happen.
If D is between C and E, then CD + DE = CE
Example 1 Identify the hypothesis and conclusion for “If a triangle has a right angle, then it is a right triangle.”
Conditional: If a triangle has a right angle, then it is a right triangle
Assumption: A triangle has a right angle
Result: It is a right triangle
These kinds of if-then statements are called conditional statements, or just conditionals.
Definition 2: Conditional Statement is a statement with "if-then" structure; it has an "if" clause and a "then" clause.
Conditional statements have two parts. One part can begin with if, and the other part can begin with then. The part following if in a conditional statement is called the hypothesis; or the assumed part. The part following then in a conditional statement is called the conclusion; or the result.
To symbolize an if-then statement, let p represents the hypothesis, and q represents the conclusion.
If p, then q.
Learn more about conditional statements below.
Practice: Determine the hypotenuse and conclusion of a conditional statement in the following exercises.