Law of Detachment Worksheet
Practice applying the Law of Detachment to conditional statements and drawing conclusions.
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Law of Detachment Worksheet
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Read each conditional statement and the given information. Then, use the Law of Detachment to draw a valid conclusion. If no valid conclusion can be drawn, write "No valid conclusion."
1. If a shape is a square, then it has four equal sides. Given: The shape is a square. Conclusion:
2. If a number is even, then it is divisible by 2. Given: The number is 10. Conclusion:
3. If a student studies hard, then they will get good grades. Given: Sarah studies hard. Conclusion:
4. If an animal is a dog, then it barks. Given: The animal barks. Conclusion:
1. Consider the statement: "If it rains, then the ground gets wet." Which of the following allows you to use the Law of Detachment?
The ground is wet.
It is raining.
It is not raining.
The ground is not wet.
1. The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then its conclusion must be true.
True
False
Write your own conditional statement. Then, provide a true hypothesis and the conclusion you can draw using the Law of Detachment.
Conditional Statement:
Hypothesis:
Conclusion: