1.3.5 Quiz - Week Three: Inductive & Deductive Reasoning

Find the next item in the pattern. 3, 5, 7, 9, 11,... - Answer-13 Determine if this conjecture is true. If not, give a counterexample. The difference of two negative numbers is a negative number. - Answer-false; −11 − (−13) = 2 Determine if the following conjecture is true. If not, give a counterexample. The square of an even integer is odd. - Answer-false; 122 = 144 Determine if this conjecture is true. If not, give a counterexample. Two complementary angles are not congruent. - Answer-false; m∠1 = m∠2 = 45° Convert the following statement into a conditional. A quadrilateral with 4 congruent sides and 4 congruent angles is a square. - Answer-If a quadrilateral has 4 congruent sides and 4 congruent angles, then it is a square. Identify the hypothesis and conclusion of the conditional. A quadrilateral with congruent angles and sides is called a square. - Answer-H: A quadrilateral has congruent angles and sides. C: The quadrilateral is a square. Write the converse, inverse, and contrapositive of the conditional statement. Find the truth value of each. If Julie scores 90 or above, then she receives an A. - Answer-Converse: If Julie receives an A, then her score is 90 or above. Inverse: If Julie does not score 90 or above, then she will not get an A. Contrapositive: If Julie does not get an A, then her score is not 90 or above. Dyann takes a bus to work every day. On Monday the trip took 34 minutes. On Tuesday the trip took 36 minutes. On Wednesday the trip took 35 minutes. On Thursday the trip took 34 minutes. Dyann determines that the trip to work on Friday will take about 35 minutes. Does her conclusion use inductive, or deductive reasoning? - Answer-inductive reasoning