# 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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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a) Four angles are formed. | b) Two lines intersect. | c) | d) | |

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