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Miss Stanley The Green School Geometry Fall 2011 Name ________________________________ Date _________________________________ Lesson 2.2 Biconditionals and Definitions Example 1: Writing a Biconditional Conditional Statement: If two angles have the same measure, then the angles are congruent. Converse Statement: Biconditional Statement: Example 2: Writing Good Definitions. A good definition… Is this a good definition? 1. a. An airplane is a vehicle that flies. 2. 3. Example 3: Writing a Condition as a Biconditional How can you tell if you can write a biconditional definition? Conditional: If two lines are perpendicular, then they intersect to form right angles. Converse: Biconditional Definition: ** Are the conditional and the converse true? ** Can you write a biconditional definition? Each conditional statement below is true. 1. Write its converse. 2. If the converse is true, combine the statements as a biconditional. If x = 12, then 2x – 5 = 19. If x = -10, then x2 = 100. 1. 1. 2. 2. Test each statement below to see if it is reversible. If so, write it as a true biconditional. If not, write not reversible. Parallel planes are planes that do not intersect. A triangle has sharp corners. Is each statement below a good definition? If not, explain. A cat is an animal with whiskers. A square is a figure with two pairs of parallel sides. A segment is a part of a line. Parallel lines do not intersect. Review Questions: 1. Write the converse and the Biconditional of the Conditional Statement. Conditional: Converse: If a whole number ends in zero, then that whole number is even. Is the coverse true? Biconditional: