Law of Detachment Worksheet
Identify and apply the Law of Detachment to draw valid conclusions from given conditional statements and premises.
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Law of Detachment Worksheet
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Read each conditional statement and its given premise. If a valid conclusion can be drawn using the Law of Detachment, write it in the space provided. If no valid conclusion can be drawn, write 'No valid conclusion'.
1. If a polygon is a square, then it is a rectangle. Premise: Polygon ABCD is a square.
2. If a student studies diligently, then they will pass the exam. Premise: John studied diligently.
3. If a number is divisible by 4, then it is an even number. Premise: The number 10 is an even number.
4. If it rains, the ground will be wet. Premise: It is raining.
5. Consider the statements: Conditional: If a triangle has three equal sides, then it is an equilateral triangle. Premise: Triangle XYZ has three equal sides. Which of the following is a valid conclusion by the Law of Detachment?
Triangle XYZ has three equal angles.
Triangle XYZ is an equilateral triangle.
Triangle XYZ is an isosceles triangle.
No valid conclusion.
6. If the conditional statement 'If p, then q' is true, and the premise 'q' is true, then we can conclude 'p' by the Law of Detachment.
True
False
7. The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then its conclusion must also be true.
True
False
8. The Law of Detachment is a form of reasoning.
9. In a conditional statement 'If p, then q', 'p' is the and 'q' is the .
10. Given the conditional statement: If an animal is a bird, then it has feathers. Premise: My pet has feathers. Can you use the Law of Detachment to conclude that my pet is a bird? Explain why or why not.