CONDITIONAL STATEMENTS If-Then Statements Section 2.2
Warm Up Determine if each statement is true or false. 1. The measure of an obtuse angle is less than 90°. 2. All perfect-square numbers are positive. 3. Every prime number is odd. 4. Any three points are coplanar.
Conditional Statement 4 Definition: A conditional statement is a statement that can be written in if-then form. “If _____________, then ______________.” Children go to school.
Conditional Statements have two parts: 5 The hypothesis is the part of a conditional statement that follows “if” (when written in if-then form.) The conclusion is the part of an if-then statement that follows “then” (when written in if-then form.) The hypothesis is the given information, or the condition. The conclusion is the result of the given information.
The converse statement switches the hypothesis and conclusion. Although the original statement is true, the converse many not always be true.
a.Write each in if-then form b.Write the converse of the statement c.Give a counterexample if the converse is false. 1.Adjacent angles share a common side. 2.All squares are rectangles.