Law of Syllogism Worksheet
This worksheet focuses on understanding and applying the Law of Syllogism in logical reasoning for Grade 10 students.
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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 identify valid arguments.
1. If p → q and q → r are true statements, which of the following is a valid conclusion by the Law of Syllogism?
q → p
r → q
p → r
r → p
2. Given the statements: Premise 1: If it is raining, then the ground is wet. Premise 2: If the ground is wet, then the plants are happy. What is the conclusion using the Law of Syllogism?
If the ground is wet, then it is raining.
If the plants are happy, then the ground is wet.
If it is raining, then the plants are happy.
If the plants are happy, then it is raining.
3. The Law of Syllogism states that if two conditional statements are true and the conclusion of the first statement is the of the second statement, then a third conditional statement can be formed.
4. If we have the premises 'If a polygon has 3 sides, then it is a triangle' and 'If a figure is a triangle, then it has 3 angles,' then by the Law of Syllogism, we can conclude: 'If a polygon has 3 sides, then it has .'
5. The Law of Syllogism requires that both premises be true to derive a valid conclusion.
True
False
6. The Law of Syllogism can be used to combine any two conditional statements, regardless of their structure.
True
False
7. Write two conditional statements and then use the Law of Syllogism to write a valid conclusion.