Law of Detachment Worksheet
A worksheet for Grade 9 students covering the Law of Detachment, including identifying hypotheses, conclusions, and valid inferences.
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Law of Detachment Worksheet
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Read each statement carefully and apply 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 polygon is a square, then it has four equal sides. Polygon ABCD is a square. Conclusion:
2. If a student studies diligently, they will pass the exam. John passed the exam. Conclusion:
3. If it is raining, then the ground is wet. It is raining. Conclusion:
4. If a number is divisible by 10, then it is divisible by 5. The number 25 is divisible by 5. Conclusion:
5. Given the statements: Premise 1: If a figure is a triangle, then it has three angles. Premise 2: Figure X is a triangle. Which of the following is a valid conclusion by the Law of Detachment?
Figure X has four angles.
Figure X has three angles.
Figure X is a square.
No valid conclusion can be made.
6. Given the statements: Premise 1: If a quadrilateral is a rhombus, then its diagonals are perpendicular. Premise 2: Quadrilateral PQRS has perpendicular diagonals. Which of the following is a valid conclusion by the Law of Detachment?
Quadrilateral PQRS is a rhombus.
Quadrilateral PQRS is a square.
Quadrilateral PQRS has four equal sides.
No valid conclusion can be made.
7. If the hypothesis of a conditional statement is true, then the conclusion is always true.
True
False
8. The Law of Detachment allows you to conclude that the hypothesis is true if the conclusion is true.
True
False
9. Explain in your own words when the Law of Detachment can be used to make a valid conclusion. Provide an example.