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1.10-Conditional Statements

1.10-Conditional Statements. Ex 1: HYPOTHESIS AND CONCLUSION

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1.10-Conditional Statements

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  1. 1.10-Conditional Statements

  2. Ex 1: HYPOTHESIS AND CONCLUSION A conditional statement is a claim based on a condition of something happening. Conditional statements are written in the form, "If __________, then______________." The hypothesis is the statement that follows the “If……..”. The conclusion follows the “, then ……”. Identify the hypothesis and conclusion of the following.

  3. a. If you break it, then you buy it. hypothesis conclusion

  4. b. If you are absent from school, then you need to make up your work. Hypothesis: You are absent from school Conclusion: You need to make up your work

  5. c. If a number is divisible by 2, then it is even. Hypothesis: A number is divisible by 2 Conclusion: It is even

  6. Ex 2: CONDITIONAL STATEMENTS Rewrite each definition into a conditional statement. a. The members on the SCHS swim team use the new pool. If_____________________________, then _________________________ you are a member on the SCHS swim team you use the new pool

  7. b. Eating a snickers satisfies your hunger. you eat a snickers If_____________________________, then _________________________ it satisfies your hunger

  8. c. All triangles have three sides. a shape is a triangle If_____________________________, then _________________________ it has three sides

  9. d. Complementary angles add to 90°. two angles are complementary If_____________________________, then _________________________ they add to 90°

  10. Ex 3: COUNTEREXAMPLES When you are dealing with a conditional statement, you must assume the first part of the statement is true. Then decide if the conclusion must happen, based on the hypothesis. Determine if the statement is true or false. If it is false, provide an example of why it is false.

  11. a. If you drive a mustang, then it is red. False, You drive a black mustang

  12. b. If is obtuse, then it measures 155° False, is obtuse and is 120°

  13. False,

  14. d. If an angle is bisected, then the angle is cut in half. True

  15. Ex 4: COMPARE STATEMENTS • Examine the two statements. • #1: If you studied, then you got an A on the test. • #2: If you got an A on the test, then you studied. • How are the two statements related? • Do they mean the same thing? If-then is flipped no

  16. Ex 5: CONVERSES A converse flips the “If____, then____” statement. Write the converse to each of the following. Then determine if the converse is true or false. If false, provide a counterexample.

  17. a. If two angles have the same measure, then the angle is bisected. an angle is bisected If ______________________, then ________________________________. the 2 angles have the same measure True

  18. b. If a shape is a pentagon, then it has five sides. a shape has 5 sides If ______________________, then ________________________________. it is a pentagon True

  19. c. If two numbers are both odd, then their sum is even. the sum of two numbers is even If ___________________________, then ___________________________. the numbers are both odd False, 2 + 2 = 4

  20. Ex 6: CRAZY CONVERSES For each of these problems below, make up a conditional statement or arrow diagram that meets the stated conditions. You must use a different example each time, and none of your examples can be about math!

  21. If you love math, then you love science If you go to Steele Canyon, then your mascot is a cougar If you don’t eat steak, then you are a vegetarian If it is Halloween, then it is October 31st.

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