TRUTH TABLES Determine how the statement is written and the truth values associated with them.

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Presentation transcript:

TRUTH TABLES Determine how the statement is written and the truth values associated with them.

H: You ice a cake before it is cool. C: The icing will melt off the cake.  Converse:  Inverse:  Contrapositive:  If the icing melts off the cake, then you iced it before it was cool.  If you don’t ice a cake before it’s cool, then the icing won’t melt off the cake.  If the icing doesn’t melt off the cake, then you didn’t ice the cake before it was cool.

H: An angle is 20 degrees. C: The angle is acute.  Converse:  Inverse:  Contrapositive:  If an angle is acute, then the angle is 20 degrees.  If an angle is not 20 degrees, then it is not acute.  If an angle is not acute, then it is not 20 degrees.

H: A shape is a rectangle. C: The shape has congruent, opposite sides.  Converse:  Inverse:  Contrapositive:  If the shape has congruent, opposite sides, then the shape is a rectangle.  If the shape is not a rectangle, then the shape does not have congruent, opposite sides.  If a shape does not have congruent, opposite angles, then the shape is not a rectangle.

H: The animal is a bird. C: The animal has wings.  Converse:  Inverse:  Contrapositive:  If the animal has wings, then the animal is a bird.  If the animal isn’t a bird, then then animal doesn’t have wings.  If the animal doesn’t have wings, then the animal is not a bird.

H: There are puddles on the ground. C: It just rained.  Converse:  Inverse:  Contrapositive:  If it just rained, then there are puddles on the ground.  If there aren’t puddles on the ground, then it didn’t just rain.  If it didn’t just rain, then there aren’t puddles on the ground.

H: You are a high school student. C: You are 15 years old.  Converse:  Inverse:  Contrapositive:  If you are 15 years old, then you are a high school student.  If you are not a high school student, then you are not 15 years old.  If you are not 15 years old, then you are not a high school student.