Law of Detachment Worksheet
This worksheet focuses on applying the Law of Detachment to determine valid conclusions from conditional statements for Grade 12 students.
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Law of Detachment Worksheet
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Read each conditional statement and the given premise. Use the Law of Detachment to determine if a valid conclusion can be made. If so, write the conclusion. If not, write 'No valid conclusion'.
1. If a quadrilateral is a square, then it has four right angles. Given: Quadrilateral ABCD is a square.
2. If a student studies diligently, then they will pass the exam. Given: John passed the exam.
3. If a number is divisible by 4, then it is an even number. Given: The number 28 is divisible by 4.
4. If today is Monday, then tomorrow is Tuesday. Given: Tomorrow is Tuesday.
5. Which of the following scenarios correctly applies the Law of Detachment?
Premise 1: If it rains, the grass gets wet. Premise 2: The grass is wet. Conclusion: It rained.
Premise 1: If a shape is a circle, it has no corners. Premise 2: This shape is a circle. Conclusion: This shape has no corners.
Premise 1: If an animal is a bird, it has feathers. Premise 2: This animal has feathers. Conclusion: This animal is a bird.
Premise 1: If a student gets an A, they studied hard. Premise 2: A student studied hard. Conclusion: The student got an A.
6. The Law of Detachment states that if a conditional statement (p → q) is true and the (p) is true, then the (q) must also be true.
7. For the Law of Detachment to be applied, the second premise must affirm the of the conditional statement.
8. The Law of Detachment allows you to conclude the converse of a conditional statement.
True
False
9. If the conclusion of a conditional statement is true, you can use the Law of Detachment to say the hypothesis is also true.
True
False
10. Write your own conditional statement and a second premise that allows you to use the Law of Detachment to draw a valid conclusion. State the conclusion.