Download Geometry Practice on Law of Detachment and Law of Syllogism

Geometry Practice on Law of Detachment and Law of Syllogism
Assume the following conditionals are true. A) What conclusion can you make, if any? B) Which
law of logic are you using?
1.
If I go to the movie, then I’ll eat popcorn.
If I eat popcorn, then I’ll enjoy the movie.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
2.
If a figure is a square, then it is a rectangle.
If a figure is a rectangle, then it has 4 right angles.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
3.
If I miss my bus, then I’ll be late for school.
I miss my bus.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
4.
If this wind keeps up, then we will lose some trees.
We lose some trees.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
5.
All accountants enjoy mathematics.
People who enjoy mathematics are intelligent.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
6.
If a person is a librarian, then they read books.
If a person is a friend of Dana’s, then they read books.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
7.
If an animal is a pig, then it is a mammal.
Leon is a pig.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
8.
If a quadrilateral is a square, then it has four congruent sides.
Quadrilateral ABCD has four congruent sides.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
9.
If my mother lets me go to a movie, then I will be happy.
My mom lets me go to a movie.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
10.
If a man is wealthy, then he buys a mansion.
If a man can buy a mansion, then he can hire a housekeeper.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
Geometry Practice on Law of Detachment and Law of Syllogism
Assume the following conditionals are true. A) What conclusion can you make, if any? B) Which
law of logic are you using?
1.
If I go to the movie, then I’ll eat popcorn.
If I eat popcorn, then I’ll enjoy the movie.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
2.
If a figure is a square, then it is a rectangle.
If a figure is a rectangle, then it has 4 right angles.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
3.
If I miss my bus, then I’ll be late for school.
I miss my bus.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
4.
If this wind keeps up, then we will lose some trees.
We lose some trees.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
5.
All accountants enjoy mathematics.
People who enjoy mathematics are intelligent.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
6.
If a person is a librarian, then they read books.
If a person is a friend of Dana’s, then they read books.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
7.
If an animal is a pig, then it is a mammal.
Leon is a pig.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
8.
If a quadrilateral is a square, then it has four congruent sides.
Quadrilateral ABCD has four congruent sides.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
9.
If my mother lets me go to a movie, then I will be happy.
My mom lets me go to a movie.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
10.
If a man is wealthy, then he buys a mansion.
If a man can buy a mansion, then he can hire a housekeeper.
A. Conclusion? ______________________________________________
B. Law of logic? _____________________________________________
Law of Detachment, Law of Syllogism or neither
1) If the measure of two angles has a sum of 90°, then the angles are
complementary.
mA + mB = 90°, so A and B are complementary.
2) If you liked the movie, then you saw a good movie. If you say a good movie,
then you enjoyed yourself. If you liked the movie, then you enjoyed yourself.
3) If it is raining, then the temperature is greater than 32°. If the temperature is
greater than 32°, then it is not freezing outside. If it is raining, then it is not
freezing outside.
4) If the football team wins on Friday night, then practice is canceled for Monday.
The football team won by 7 points, so they do not have practice on Monday.
5) If it does not rain, then the track team will have practice. It is not raining today,
so the track team will have practice.
Use the law of detachment or the law of syllogism to make a conclusion.
6) If a triangle has one 90° angle, then it is a right triangle. In ∆DEF, mE = 90°,
s0...
7) If you live in Providence, then you live in Rhode Island. If you live in Rhode
Island, then you live in the smallest state in the US. Shannon lives in
Providence.
8) If two figures are congruent, then their areas are equal. The area of ABCD
equals the area of PQRS.
9) If you vacation at the beach, then you must like the ocean. If you like the ocean,
then you like FL. Bryson likes to vacation at the beach.
Law of Detachment, Law of Syllogism or neither
1) If the measure of two angles has a sum of 90°, then the angles are
complementary.
mA + mB = 90°, so A and B are complementary.
2) If you liked the movie, then you saw a good movie. If you say a good movie,
then you enjoyed yourself. If you liked the movie, then you enjoyed yourself.
3) If it is raining, then the temperature is greater than 32°. If the temperature is
greater than 32°, then it is not freezing outside. If it is raining, then it is not
freezing outside.
4) If the football team wins on Friday night, then practice is canceled for Monday.
The football team won by 7 points, so they do not have practice on Monday.
5) If it does not rain, then the track team will have practice. It is not raining today,
so the track team will have practice.
Use the law of detachment or the law of syllogism to make a conclusion.
6) If a triangle has one 90° angle, then it is a right triangle. In ∆DEF, mE = 90°,
s0...
7) If you live in Providence, then you live in Rhode Island. If you live in Rhode
Island, then you live in the smallest state in the US. Shannon lives in
Providence.
8) If two figures are congruent, then their areas are equal. The area of ABCD
equals the area of PQRS.
9) If you vacation at the beach, then you must like the ocean. If you like the ocean,
then you like FL. Bryson likes to vacation at the beach.