Law of Syllogism Worksheet
Practice identifying and applying the Law of Syllogism to draw logical conclusions from given statements.
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Law of Syllogism Practice
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Read each set of statements carefully. Use the Law of Syllogism to draw a logical conclusion. If no conclusion can be drawn, write 'No conclusion'.
1. If it is raining, then the ground is wet. If the ground is wet, then the grass is green. Conclusion:
2. If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has four sides. Conclusion:
3. If a student studies, then they will pass the test. If a student passes the test, then they will get a good grade. Conclusion:
4. Given the statements: P1: If an animal is a dog, then it barks. P2: If an animal barks, then it is loud. Which of the following is a valid conclusion by the Law of Syllogism?
If an animal is loud, then it is a dog.
If an animal is a dog, then it is loud.
If an animal barks, then it is a dog.
No valid conclusion can be drawn.
5. Given the statements: P1: If you eat vegetables, then you are healthy. P2: If you exercise, then you are healthy. Which of the following is a valid conclusion by the Law of Syllogism?
If you eat vegetables, then you exercise.
If you are healthy, then you eat vegetables.
If you exercise, then you eat vegetables.
No valid conclusion can be drawn.
6. The Law of Syllogism states that if p → q and q → r are true statements, then p → r is a true statement.
True
False
7. The Law of Syllogism can be used with any two conditional statements, regardless of whether the conclusion of the first statement matches the hypothesis of the second.
True
False
8. Write two conditional statements and then use the Law of Syllogism to write a valid conclusion.