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CONDITIONAL STATEMENTS If-Then Statements Section 2.2
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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.
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Conditional Statement 4 Definition: A conditional statement is a statement that can be written in if-then form. “If _____________, then ______________.” Children go to school.
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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.
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The converse statement switches the hypothesis and conclusion. Although the original statement is true, the converse many not always be true.
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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.
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