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biconditional (statement) |
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Definition
If a conditional statement and its converse are both true, they can be rewritten as a single logical statement called a(n) ______________________________. |
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“______________________________” is a fancy name for an if-then statement. |
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The part of a conditional statement following the “then” is referred to as the statement’s ______________________________. |
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The ______________________________ of the statement “If an object is a die, then it has six sides” is “If an object does not have six sides, then it is a not a die.” |
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The statement “If the corresponding angles formed are congruent, then the two lines cut by a transversal are parallel” is the ______________________________ of “If two lines cut by a transversal are parallel, then the corresponding angles formed are congruent.” |
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A bat would be a(n) ______________________________ for the statement “If an animal has wings, then it is a bird. That’s because a bat has wings, but it is not a bird.” |
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Any number that is two times an integer plus one is an odd number. Sixty-seven is two times the integer thirty-three plus one. Therefore sixty-seven is an odd number. This is an example of ______________________________. |
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The ________________________________________ below shows the relationship among the set of animals, the set of animals that are mammals, and the set of animals that lay eggs.
[image]
We call a picture that shows the logical relationships among a number of sets a(n) ______________________________. |
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In the statement, “If an animal has a backbone, then the animal is a vertebrate,” the clause “animal has a backbone” is the statement’s ______________________________. |
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You create a conditional statement’s ____________________ when you negate its hypothesis and conclusion. |
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