Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Name ___________________________________Period:_______________________ Quiz 2A.2 Matching ____conjecture 2. ____inductive reasoning 3. ____deductive reasoning 4. ____conclusion 5. ____hypothesis 6. ____counterexample 7. ____conditional statement 8. ____converse 9. ____inverse 10. ____negation 11. ____truth value 12. ____contrapositive 1. a. the part of a conditional statement following the word then b. the statement formed by both exchanging and negating the hypothesis and conclusion c. the statement formed by exchanging the hypothesis and conclusion of a conditional statement d. the process of reasoning that a rule or statement is true because specific cases are true e. an example that proves that a conjecture or statement is false f. the process of using logic to draw conclusions from given facts, definitions and properties g. Assigning true (T) or false (F) to a statement, only when the hypothesis is true and the conclusion is false h. The statement formed by negating the hypothesis and the conclusion i. the contradiction of statement by using “not,” written as ~ j. a statement that is believed to be true k. l. the part of a conditional statement following the word if a statement that can be written in the form “if p, then q,” where p is the hypothesis and q is the conclusion Find the next term in each pattern. 1. 25, 22, 19, … __________________________ 2. Tues, Thurs, Sat, …__________________________ 3. 8, 10, 12 , …__________________________4. _______________________ . 5. A biologist recorded the following data about the weight of baby giraffes in a wildlife park. Use the table to make a conjecture about the average weight of a baby giraffe. _____________________________________________ _____________________________________________ 6. Show that the conjecture “If the season is spring then the month is March” is false by finding a counterexample. __________________________ 7. Identify the hypothesis and conclusion of the conditional statement “Two angles are supplementary angles if the sum of their measures is 180o.” ______________________________________________________________________ ______________________________________________________________________ Write a conditional statement from each of the following. 8. The sides of a square are congruent.__________________________________________________ ______________________________________ Desserts 9. Pie __________________________________________________________ ________________________________________ Determine if each conditional is true. If false, give a counterexample. 10. If 6x - 3 = 8x - 15, then x = 6. ________________________________________________________ 11. If an angle is acute, then it has a measure of 45o.______________________________________ 2A 12. Write the converse, inverse, and contrapositive of the statement “If a ray divides an angle into two congruent angles, then it is an angle bisector.” Find the truth value of each. _____________________________________________________ T / F Converse: Inverse: ______________________________________________________ T / F Contrapositive: __________________________________________________T / F 13. Determine if the following conjecture is valid by the Law of Syllogism. Given: If two angles lie in the same plane and have a common vertex and a common side, but no common interior points, then they are adjacent angles. If two adjacent angles are a linear pair then their noncommon sides are opposite rays. Conjecture: If two angles lie in the same plane and have a common vertex and a common side and no common interior points, then their noncommon sides are opposite rays. ____________________________________ 14. Determine if the following conjecture is valid by the Law of Detachment. Given: If Ron finishes washing the dishes, he can go to the batting cage. Ron finishes washing the dishes. Conjecture: Ron can go to the batting cage. ___________________________________________________