Law of Detachment Worksheet
A Grade 8 math worksheet focusing on the Law of Detachment, including multiple choice, true/false, and short answer questions.
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Law of Detachment Worksheet
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Read each question carefully and apply the Law of Detachment to determine the correct conclusion.
1. If a quadrilateral is a square, then it has four right angles. Rectangle ABCD is a square. What conclusion can be drawn?
Rectangle ABCD has four equal sides.
Rectangle ABCD has four right angles.
Rectangle ABCD has opposite sides parallel.
No conclusion can be drawn.
2. If a student studies diligently, then they will pass the exam. Maria studied diligently. What can we conclude?
Maria might pass the exam.
Maria will pass the exam.
Maria will not pass the exam.
Maria is a good student.
3. If a number is even, then it is divisible by 2. The number 15 is not even. Therefore, 15 is not divisible by 2.
True
False
4. If an animal is a dog, then it barks. Fido barks. Therefore, Fido is a dog.
True
False
5. According to the Law of Detachment, if a conditional statement is true and its hypothesis is true, then its must also be true.
6. The Law of Detachment is a rule of that allows us to draw a valid conclusion.
7. State the Law of Detachment in your own words.
8. Given the conditional statement: "If an angle is obtuse, then its measure is greater than 90 degrees." And the fact: "Angle PQR is an obtuse angle." What conclusion can you draw using the Law of Detachment?