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Law of Detachment Worksheet

Explore the Law of Detachment with this Grade 7 math worksheet, featuring true/false, fill-in-the-blanks, and short answer questions.

Grade 7 Math Logic and ReasoningLaw of Detachment
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Includes

True / FalseFill in the BlanksShort AnswerMultiple Choice

Standards

CCSS.MATH.CONTENT.7.G.A.2

Topics

Law of DetachmentLogicReasoningGrade 7Math
6 sections · Free to use · Printable
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Law of Detachment Worksheet

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Read each question carefully and answer to the best of your ability. This worksheet will test your understanding of the Law of Detachment.

1. The Law of Detachment allows you to conclude the converse of a conditional statement.

T

True

F

False

2. If a conditional statement is true and its hypothesis is true, then its conclusion must also be true.

T

True

F

False

3. The Law of Detachment states that if a conditional statement is true and its   is true, then its conclusion is also true.

4. A conditional statement has two parts: a hypothesis and a  .

5. Given the conditional statement: "If it is raining, then the ground is wet." Suppose it is raining. What can you conclude using the Law of Detachment?

6. Explain in your own words what the Law of Detachment means.

7. Which of the following is an example of a valid conclusion using the Law of Detachment?

a

If a shape is a square, then it has four equal sides. This shape has four equal sides, so it is a square.

b

If a number is even, then it is divisible by 2. The number 10 is even, so it is divisible by 2.

c

If an animal is a bird, then it has feathers. This animal has feathers, so it is a bird.

d

If a student studies, then they will pass the test. This student did not study, so they will not pass the test.