TRUTH TABLESDetermine 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.