EXAMPLE 4 Write a biconditional

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Presentation transcript:

EXAMPLE 4 Write a biconditional Write the definition of perpendicular lines as a biconditional. SOLUTION Definition: If two lines intersect to form a right angle, then they are perpendicular. Converse: If two lines are perpendicular, then they intersect to form a right angle. Biconditional: Two lines are perpendicular if and only if they intersect to form a right angle.

GUIDED PRACTICE for Example 4 11. Rewrite the definition of right angle as a biconditional statement. Biconditional: An angle is a right angle if and only if the measure of the angle is 90° ANSWER

GUIDED PRACTICE for Example 4 12. Rewrite the statements as a biconditional. If Mary is in theater class, she will be in the fall play. If Mary is in the fall play, she must be taking theater class. Biconditional: Mary is in the theater class if and only if she will be in the fall play. ANSWER