Question 1(Multiple Choice Worth 1 points) (01.05 MC) Which is a counterexample of the following conditional? "If a number is divisible by seven, then it is odd." O 28 O 21 07 01 Question 2(Multiple Choice Worth 1 points) (01.05 MC) Read the following statements. Statement 1: "If she is stuck in traffic, then she is late." Statement 2: "If she is late, then she is stuck in traffic." Statement 3: "If she is not late, then she is not stuck in traffic." Sue writes, "Statement 2 is the converse of statement 3 and contrapositive of statement 1." Kim writes, "Statement 1 is the inverse of statement 2 and converse of statement 3." Who is correct? O Only Kim is correct. Both Sue and Kim are correct. Both Sue and Kim are incorrect. O Only Sue is correct.Question 3(Multiple Choice Worth 1 points) (01.05 MC) What is the biconditional statement of the following conditional statement? "If the product of the slopes of two lines is -1, then the lines are perpendicular." O If the lines are perpendicular, then the product of the slopes of two lines is -1. The product of the slopes of two lines is -1 if and only if the lines are perpendicular. If the product of the slopes of two lines is not -1, then the lines are not perpendicular. O If the two lines are not perpendicular, then the product of the slopes of two lines is not -1. Question 4(Multiple Choice Worth 1 points) (01.05 MC) What is the converse of the following conditional statement? "If this month is September, then next month ends in the letter r." Determine the validity of the converse and give a counterexample if the converse is not valid. O If next month ends in the letter r, then this month is September. The converse is valid. If this month is not September, then next month does not end in the letter r. The converse is valid. If next month ends in the letter r, then this month is September. The converse is invalid; a counterexample is December. If this month is not September, then next month does not end in the letter r. The converse is invalid; a counterexample is December.Question 5(Multiple Choice Worth 1 points) (01.05 MC) Which of the following negates both the hypothesis and the conclusion? Biconditional O Counterexample O Converse O Inverse Question 6(Multiple Choice Worth 1 points) (01.05 MC) What is the converse of the following statement? "If the sum of interior angles of a polygon is more than 180', then the polygon is not a triangle." O If the sum of the interior angles of a polygon is not more than 180, then the polygon is a triangle. O If the polygon is a triangle, then the sum of the interior angles of the polygon is not more than 180 O If the sum of the interior angles of a polygon is equal to 180, then the polygon is a triangle. If the polygon is not a triangle, then the sum of the interior angles of the polygon is more than 180.Question 7(Multiple Choice Worth 1 points) (01.05 MC) Which statement is logically equivalent to the following conditional statement? "If it has exactly four sides, then it is not a hexagon." O If it does not have exactly four sides, then it is not a hexagon. O If it does not have exactly four sides, then it is a hexagon. If it is a hexagon, then it does not have exactly four sides. O If it is not a hexagon, then it has exactly four sides. Question 8(Multiple Choice Worth 1 points) (01.05 LC) What is the inverse of the following statement? "If it is not Wednesday, then it is sunny." O If it is Wednesday, then it is not sunny. If it is sunny, then it is not Wednesday. O If it is not Wednesday, then it is not sunny. If it is not sunny, then it is Wednesday.Question 9(Multiple Choice Worth 1 points) (01.05 LC) What is the contrapositive of the following statement? "If it is not a lion, then it is a cat." O If it is a cat, then it is not a lion. O If it is not a cat, then it is a lion. O If it is a lion, then it is a cat. O If it is not a lion, then it is not a cat. Question 10(Multiple Choice Worth 1 points) (01.05 MC) Jenni wrote a conditional statement and its converse. Conditional: If angles are right angles, then the angles have the same measure. Converse: If angles have the same measurement, then they are right angles. Did Jenni write the converse statement properly? Give a counterexample to dispute the validity of the converse statement. O No; two angles that each measure 45 Yes; two angles that each measure 90 Yes; two angles that each measure 41 O No; two angles that each measure 82