Conditional Statements Section 2-1. Objectives To recognize conditional statements. To recognize conditional statements. To write converses of conditional.

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Presentation transcript:

Conditional Statements Section 2-1

Objectives To recognize conditional statements. To recognize conditional statements. To write converses of conditional statements. To write converses of conditional statements.

Have you ever heard a person say: If you are not completely satisfied, then your money will be refunded? This is an if-then statement called a ______________. In symbols, we can write this as ________. This means, If p then q.

Every conditional statement has two parts. The part following the if is the _____________. The part following the then is the ___________.

If today is the first day of fall, then the month is September. Hypothesis:Conclusion: Example 1:Identify the Hypothesis and the Conclusion

If you want to be fit, then get plenty of exercise. Hypothesis:Conclusion: Example 2:Identify the Hypothesis and the Conclusion

Example 3:Identify the Hypothesis and the Conclusion If Voldemort is in the book you are reading, then you are reading Harry Potter. Hypothesis:Conclusion:

Example 4: Write each as a conditional a. A rectangle has four right angles. b. A tiger is an animal. c. An integer that ends with 0 is divisible by 5.

The ______________ of a statement interchanges the hypothesis and conclusion. In symbols, we can write this as ________. This means, if q then p.

Write the converse of the conditional statement. Example 5: If two lines are not parallel and do not intersect, then they are skew lines.

Write the converse of the conditional statement Example 6: If you eat your vegetables, then you grow.

Write the converse of the conditional statement Example 7: If a triangle is a right triangle, then it has a 90 degree angle.

Truth Values (true or false?) Example 8: Write the converse of the conditional AND determine it’s truth value. If a figure is a square, then it has four sides.

Truth Values (true or false?) Example 9: Write the converse of the conditional AND determine it’s truth value. If two lines do not intersect, then they are parallel.

Truth Values (true or false?) Example 10: Write the converse of the conditional AND determine it’s truth value. If x = 2, then |x| = 2.

Truth Values (true or false?) Example 11: Write the converse of the conditional AND determine it’s truth value. If you travel from the United States to Kenya, then you have a passport.

Use the following conditional for Exercises 1–3. If a circle’s radius is 2 m, then its diameter is 4 m. 1. Identify the hypothesis and conclusion. 2. Write the converse. 3. Determine the truth value of the conditional and its converse. Show that each conditional is false by finding a counterexample. 4. If lines do not intersect, then they are parallel. 5.All numbers containing the digit 0 are divisible by 10.