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Laws of Detachment
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.
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