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Name __________________________________________________ Period ______ Honors Geometry: Mixed Practice 2-3/2-4 Date___________________ Is it inductive or deductive? Inductive or Deductive Use the law of detachment to find a conclusion… Conclusion… Use the law of syllogism to find a conclusion… Conclusion… Write the conditional statement and its converse that makes up the biconditional statement. Biconditional Conditional Converse It is the weekend if and only if it is Saturday or Sunday. 2 segments have the same length if and only if they are congruent. A parallelogram is a rectangle if and only if it has four right angles. Three points are coplanar if and only if they lie in the same plane. Write the converse statement and its biconditional for the conditional statement. Biconditional Conditional If the angle is a straight angle, then it measures 180o. If a triangle contains a right angle, then it is a right triangle. If xy = 0, the x = 0 or y = 0. If a figure is a quadrilateral, then it is a parallelogram. Converse Determine if the biconditional statements are true or false (show counterexample). Biconditional Statements True or False (Provide counterexample) The angle is obtuse if and only if the angle measures 133o. It is a fish if and only if it lives in the water. A point divides a segment into two equal parts if and only if it is its midpoint. Kayla is a plays soccer if and only if she is an athlete. Rewrite these definitions as biconditional statements. Definitions Angle bisectors divide angles into two equal angles. Collinear points lie on the same plane. Freshmen are 9th graders. Complementary angles have a sum of 90o. Biconditional Statements