Law of Syllogism Worksheet
This worksheet focuses on the Law of Syllogism, a fundamental concept in deductive reasoning, suitable for Grade 12 mathematics.
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Law of Syllogism Worksheet
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Read each question carefully and apply the Law of Syllogism to determine the correct conclusion or answer.
1. The Law of Syllogism states that if p → q and q → r are true statements, then is a true statement.
2. In a syllogism, the conclusion is derived from two .
3. Given the statements: If it is raining, then the ground is wet. If the ground is wet, then the plants are happy. What is the logical conclusion using the Law of Syllogism?
If the ground is wet, then it is raining.
If it is raining, then the plants are happy.
If the plants are happy, then it is raining.
The plants are happy.
4. Which of the following sets of statements can be combined using the Law of Syllogism to form a valid conclusion?
If I study, I will pass. If I pass, I will celebrate.
If I am hungry, I eat. If I am thirsty, I drink.
If I play guitar, I sing. If I play piano, I dance.
If it is cold, I wear a coat. It is cold.
5. The Law of Syllogism can be used to combine any two conditional statements.
True
False
6. The conclusion of a syllogism is always a conditional statement.
True
False
7. Write a valid conclusion for the following statements using the Law of Syllogism: If a polygon has three sides, then it is a triangle. If a polygon is a triangle, then it has three angles.
8. Identify the two conditional statements needed to reach the conclusion: 'If you eat vegetables, then you will be healthy.' using the Law of Syllogism.
9. Explain in your own words how the Law of Syllogism works and provide an example that demonstrates its application in everyday life.