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Conditional Statements and If-Then Form Examples

This guide provides clear examples of rewriting conditional statements in if-then form. It demonstrates how to identify the hypothesis and conclusion, offering practical examples such as "If an animal is a bird, then it has feathers," and more complex statements like "If n = 9, then n² = 81." It also explains how to handle supplementary angles and right angles. By practicing these examples, you will enhance your understanding of conditional logic in mathematics and improve your ability to express statements clearly.

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Conditional Statements and If-Then Form Examples

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  1. All birds have feathers. a. b. Two angles are supplementary if they are a linear pair. a. All birdshavefeathers. EXAMPLE 1 Rewrite a statement in if-then form Rewrite the conditional statement in if-then form. SOLUTION First, identify the hypothesisand the conclusion. When you rewrite the statement in if-then form, you may need to reword the hypothesis or conclusion. If an animal is a bird, then it has feathers.

  2. Two angles are supplementaryif they are a linear pair. b. EXAMPLE 1 Rewrite a statement in if-then form If two angles are a linear pair, then they aresupplementary.

  3. 1. All 90° angles are right angles. ANSWER If the measure of an angle is 90°,then it is a right angle 2. 2x + 7 = 1, becausex = –3 ANSWER If x= –3, then 2x + 7 = 1 for Example 1 GUIDED PRACTICE Rewrite the conditional statement in if-then form.

  4. 3. Whenn = 9,n2 = 81. ANSWER If n = 9,thenn2 = 81. Tourists at the Alamo are in Texas. 4. ANSWER If tourists are at the Alamo, then they are in Texas. for Example 1 GUIDED PRACTICE Rewrite the conditional statement in if-then form.

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