Biconditional 5 x 8 37 if and only if x 9 Biconditional Two angles have the

Biconditional 5 x 8 37 if and only if x 9

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Biconditional: 5 x – 8 = 37 if and only if x = 9. Biconditional: Two angles have the same measure if and only if they are congruent.
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Holt McDougal Geometry 2-4 Biconditional Statements and Definitions Check It Out! Example 2a If the date is July 4th, then it is Independence Day. For the conditional, write the converse and a biconditional statement. Converse: If it is Independence Day, then the date is July 4th. Biconditional: It is July 4th if and only if it is Independence Day.
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Holt McDougal Geometry 2-4 Biconditional Statements and Definitions Check It Out! Example 2b For the conditional, write the converse and a biconditional statement. If points lie on the same line, then they are collinear. Converse: If points are collinear, then they lie on the same line. Biconditional: Points lie on the same line if and only if they are collinear.
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Holt McDougal Geometry 2-4 Biconditional Statements and Definitions For a biconditional statement to be true, both the conditional statement and its converse must be true. If either the conditional or the converse is false, then the biconditional statement is false.
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Holt McDougal Geometry 2-4 Biconditional Statements and Definitions Determine if the biconditional is true. If false, give a counterexample. Example 3A: Analyzing the Truth Value of a Biconditional Statement A rectangle has side lengths of 12 cm and 25 cm if and only if its area is 300 cm 2 .
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Holt McDougal Geometry 2-4 Biconditional Statements and Definitions Example 3A: Analyzing the Truth Value of a Biconditional Statement Conditional: If a rectangle has side lengths of 12 cm and 25 cm, then its area is 300 cm 2 . Converse: If a rectangle’s area is 300 cm 2 , then it has side lengths of 12 cm and 25 cm. The conditional is true. The converse is false. If a rectangle’s area is 300 cm 2 , it could have side lengths of 10 cm and 30 cm. Because the converse is false, the biconditional is false.
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Holt McDougal Geometry 2-4 Biconditional Statements and Definitions Determine if the biconditional is true. If false, give a counterexample. Example 3B: Analyzing the Truth Value of a Biconditional Statement A natural number n is odd n 2 is odd. Conditional: If a natural number n is odd, then n 2 is odd. The conditional is true. Converse: If the square n 2 of a natural number is odd, then n is odd. The converse is true. Since the conditional and its converse are true, the biconditional is true.
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Holt McDougal Geometry 2-4 Biconditional Statements and Definitions Check It Out! Example 3a An angle is a right angle iff its measure is 90°. Determine if the biconditional is true. If false, give a counterexample.
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