2.1.4 Biconditional Statements and Definitions − Practice

1. Write the converse and a biconditional statement for the conditional. If two lines intersect, then they are not parallel.

2. Write the converse and a biconditional statement for the conditional. If an angle is a straight angle, then its measure is 180°.

3. Determine whether the biconditional statement is true or false. If false, give a counterexample. x − y is positive if and only if | x | > y .

4. Determine whether the biconditional statement is true or false. If false, give a counterexample. A triangle is a right triangle if and only if it has a 90° angle.

6. Write the definition as a biconditional statement. A hexagon is a polygon with six sides.

5. Write the definition as a biconditional statement. A triangle which has no congruent sides is a scalene triangle.

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