Law of Law of Detachment Law of Syllogism Neither Contrapositive If P→Q and P is true than Q If P→Q and Q→R If P→Q and Q is than P If P→Q and Q is true than P is true. then P→R. is false. is true. If a figure is a kite, then it is If a figure is a quadrilateral, All 45-degree angles are a quadrilateral. If a figure is then it has four A If x is even, then x2 is even. congruent. a quadrilateral, then it is a triangle has three sides. A X = 4. A B polygon. If a figure is a kite, triangle is not a 42 is an even number. A and B are 45 degrees. then it is a polygon. quadrilateral. If a figure is a quadrilateral, If a number ends in zero, it If you eat too much turkey, If two angles are vertical, then then it has four sides. A is divisible by 10. Ninety then you will get sick. they are congruent. are not rhombus is a quadrilateral. ends in zero. Ninety is congruent. Therefore, are not got sick. Javon ate too vertical. A rhombus has four sides. divisible by 10. much turkey. If x = 3, then it is If Kim gets she gives If 2 is acute, then 3 is If an angle is acute, then it a solution to half of it to Sid. If Sid gets obtuse. If 3 is obtuse, then is not obtuse. . is not x + 2 = 5. money, he gives half of it to 4 is acute. If 2 is acute, then obtuse. X = 1, so it is not a solution Kim. Kim and Sid share 4 is acute. to x + 2 = 5. their money equally.
Law of Detachment Law of Syllogism Law of Contrapositive Neither If P→Q and P is true than Q is true. If P→Q and Q→R then P→R. If P→Q and Q is than P is false. If P→Q and Q is true than P is true. If x is even, then x2 is even. X = 4. 42 is an even number. If a figure is a kite, then it is a quadrilateral. If a figure is a quadrilateral, then it is a polygon. If a figure is a kite, then it is a polygon. If a figure is a quadrilateral, then it has four A triangle has three sides. A triangle is not a quadrilateral. All 45-degree angles are congruent. A B A and B are 45 degrees. If a figure is a quadrilateral, then it has four sides. A rhombus is a quadrilateral. A rhombus has four sides. If a number ends in zero, it is divisible by 10. Ninety ends in zero. Ninety is divisible by 10. If two angles are vertical, then they are congruent. are not congruent. Therefore, are not vertical. If you eat too much turkey, then you will get sick. got sick. Javon ate too much turkey. If an angle is acute, then it is not obtuse. . is not obtuse. If 2 is acute, then 3 is obtuse. If 3 is obtuse, then 4 is acute. If 2 is acute, then 4 is acute. If x = 3, then it is a solution to x + 2 = 5. X = 1, so it is not a solution to x + 2 = 5. If Kim gets she gives half of it to Sid. If Sid gets money, he gives half of it to Kim. Kim and Sid share their money equally.
mip-G-1c-deductive-reason.docx