Download Write the Law of Detachment in symbolic form

Laws of Detachment & Syllogism
Period_____
Name________________________
Write the Law of Detachment in symbolic form:
Determine if a conclusion follows. If so, state it. If not, write “No Conclusion”
1. (1) If a figure is a square, then it has four right angles.
(2) ABCD is a square.
2. (1) If Marita obeys the speed limit, then she will not get a speeding ticket.
(2) Marita did not get a speeding ticket.
3. (1) If a triangle is equilateral, then the measure of each angle is 60.
(2) ABC is an equilateral triangle.
4. (1) If Amanda is taller than Teresa, then Amanda is at least 6 feet tall.
(2) Amanda is older than Teresa.
5. (1) If I lose my textbook, I will fail my math test.
(2) I did not lose my textbook.
6. (1) If a number is an integer, then it is a real number.
(2) x is an integer.
7. (1) If two odd numbers are added, their sum is an even number.
(2) 5 and 3 are added.
8. (1) If an angle has a measure of 100, then it is an obtuse angle.
(2) B is an obtuse angle.
9. (1) If a parallelogram has four right angles, then it is a rectangle.
(2) ABCD has four right angles.
10. (1) If school is in session, then it is not Saturday.
(2) It is not Saturday.
11. (1) All tigers are cats.
(2) Simba is a tiger.
12. (1) Sean is on a field trip.
(2) All art students are on a field trip.
Laws of Detachment & Syllogism
Period_____
Name________________________
Write the Law of Syllogism in symbolic form:
Determine if a conclusion follows. If so, state it. If not, write “No Conclusion”
1. (1) If a figure is a square, then it has four right angles.
(2) If a figure has four right angles, then it is a rectangle.
2. (1) If Marita obeys the speed limit, then she will not get a speeding ticket.
(2) If Marita does not get a speeding ticket, then she won’t have to pay the fine.
3. (1) If a triangle is equilateral, then the measure of each angle is 60.
(2) If the measure of each angle in a triangle is 60, then it is equiangular.
4. (1) If Amanda is taller than Teresa, then Amanda is at least 6 feet tall.
(2) If Amanda is taller than Teresa, then she weighs more.
5. (1) If I lose my textbook, I will fail my math test.
(2) If I fail my math test, my average will go down.
6. (1) If a number is an integer, then it is a real number.
(2) If x is an integer, then it is rational.
7. (1) If two odd numbers are added, their sum is an even number.
(2) If the sum of two odd numbers is an even number, then the sum is divisible by two.
8. (1) If an angle has a measure of 100, then it is an obtuse angle.
(2) If B is an obtuse angle, then it does not have a complement.
9. (1) If a parallelogram has four right angles, then it is a rectangle.
(2) If a parallelogram is a rectangle, then its diagonals are congruent.
10. (1) If school is in session, then it is not Saturday.
(2) If school is in session, then the buses ran.
11. (1) All tigers are cats.
(2) All cats have whiskers.
12. (1) Mrs. Horne’s students take art.
(2) All art students are on a field trip.