Law of Detachment/Syllogism

If two lines are not parallel, then they intersect.If two lines intersect, then they intersect at a point. conclusion?

If two lines are not parallel, then they intersect at a point.

If you vacation at the beach, then you must like the ocean. If you like the ocean, then you will like Florida. conclusion?

If you vacation at the beach, then you will like Florida.

A law of logic in which two original statements may lead to a concluding statement. "If P, then Q. It is given that P is true." -> Q is true.

Law of Detachment

If you enjoy mathematics, then you are intelligent. If you are an accountant, then you enjoy mathematics.

conclusion: If you are an accountant, then you are intelligent. law: syllogism

If the football team wins on Friday night, then practice is canceled for Monday. The football team won by 7 points on Friday night. conclusion?

practice is canceled for Monday

If a triangle has one 90 degrees angle, then the triangle is a right triangle. In triangle DEF, angleE=90 degrees. conclusion?

triangle DEF is a right triangle

A law of logic in which two original statements may lead to a concluding statement. "If P, then Q. If Q, then R." -> If P, then R follows.

Law of Syllogism

If the measures of two angles have a sum of 90 degrees, then the angles are complementary. angle1+angle2 = 90 conclusion?

angle1 and angle2 are complementary

If a person is a librarian, then they read books. Dana's friend is a librarian.

conclusion: Dana's friend reads books. law: detachment

If I miss my bus, then I'll be late for school. I miss my bus.

conclusion: I'll be late for school. law: detachment

If I can go to the movie, then I'll eat popcorn. if I eat popcorn then I'll enjoy the movie.

conclusion: If I go to the movie, then I'll enjoy the movie. law: syllogism

If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has 4 right angles.

conclusion: If a figure is a square, then it has four right angles. law: syllogism

If this wind keeps up, then we'll lose some trees. We lose some trees.

conclusion: None law: detachment