Conditionals: Question Preview (ID: 19161)


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What is the converse of this conditional statement: If the animal is an adult insect, then it has six legs.
a) If the animal is an adult insect, then it has six legs. b) If the animal has six legs, then it is an adult insect. c) If the animal is not an adult insect, then it does not have six legs. d) If the animal does not have six legs, then it is not an adult insect.
What is the inverse of this conditional statement: If the animal is an adult insect, then it has six legs.
a) If the animal is an adult insect, then it has six legs. b) If the animal has six legs, then it is an adult insect. c) If the animal is not an adult insect, then it does not have six legs. d) If the animal does not have six legs, then it is not an adult insect.
What is the contrapositive of this conditional statement: If the animal is an adult insect, then it has six legs.
a) If the animal is an adult insect, then it has six legs. b) If the animal has six legs, then it is an adult insect. c) If the animal is not an adult insect, then it does not have six legs. d) If the animal does not have six legs, then it is not an adult insect.
What is the converse of this conditional statement: If the table top is rectangular, then its diagonals are congruent.
a) If the diagonals of the table top are not congruent, then it is not rectangular. b) If the diagonals of a table top are congruent, then it is rectangular. c) If the table top is rectangular, then its diagonals are congruent. d) If the table top is not rectangular, then its diagonals are not congruent.
What is the inverse of this conditional statement: If the table top is rectangular, then its diagonals are congruent.
a) If the diagonals of the table top are not congruent, then it is not rectangular. b) If the diagonals of a table top are congruent, then it is rectangular. c) If the table top is rectangular, then its diagonals are congruent. d) If the table top is not rectangular, then its diagonals are not congruent.
What is the contrapositive of this conditional statement: If the table top is rectangular, then its diagonals are congruent.
a) If the diagonals of the table top are not congruent, then it is not rectangular. b) If the diagonals of a table top are congruent, then it is rectangular. c) If the table top is rectangular, then its diagonals are congruent. d) If the table top is not rectangular, then its diagonals are not congruent.
If the conditional statement is true, then the ________________ is also logically true.
a) inverse b) converse c) contrapositive d) biconditional
What is the biconditional of the following conditional statement: If two segments have the same length, then they are congruent.
a) If the two segments are congruent, then they have the same length. b) If the two segments are not congruent, then they do not have the same length. c) Two segments have the same length if and only if they are congruent. d) If two segments do not have the same length, then they are not congruent.
What is the hypothesis in the conditional statement: If an insect is a butterfly, then it has four wings.
a) An insect is a butterfly. b) It has four wings. c) d)
What is the conclusion in the condtional statement: Four angles are formed if two lines intersect.
a) Four angles are formed. b) Two lines intersect. c) d)
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