WS – Constructing Logic Proofs (Two Columns)



WS – Constructing Logic Proofs (Two Columns)

|Statements |Reasons |

|1. [pic] |1. Given |

|2. [pic] |2. Given |

|3. [pic] |3. Contrapositive of 1 |

|4. [pic] |4. Law of Syllogism of 2 and 3 |

1.

2.

|Statements |Reasons |

|1. [pic] |1. Given |

|2. [pic] |2. Given |

|3. [pic] |3. Given |

|4. [pic] |4. Contrapositive of 1 |

|5. [pic] |5. Law of Syllogism of 2 and 3 |

|6. [pic] |6. Law of Syllogism of 4 and 5 |

|7. [pic] |7. Contrapositve of 6 |

3.

|Statements |Reasons |

|1. [pic] |1. Given |

|2. [pic] |2. Given |

|3. [pic] |3. Given |

|4. [pic] |4. Contrapositive of 2 |

|5. [pic] |5. Contrapositive of 3 |

|6. [pic] |6. Law of Syllogism of 4 and 5 |

|7. [pic] |7. Law of Syllogism of 1 and 6 |

4.

|Statements |Reasons |

|1. [pic] |1. Given |

|2. [pic] |2. Given |

|3. [pic] |3. Given |

|4. [pic] |4. Contrapositive of 2 |

|5. [pic] |5. Law of Syllogism of 3 and 4 |

|6. [pic] |6. Law of Syllogism of 1 and 5 |

|Statements |Reasons |

|1. [pic] |1. Given |

|2. [pic] |2. Given |

|3. [pic] |3. Given |

|4. [pic] |4. Contrapositive of 1 |

|5. [pic] |5. Contrapositive of 2 |

|6. [pic] |6. Law of Syllogism of 3 and 5 |

|7. [pic] |7. Law of Syllogism of 4 and 6 |

5.

Additional Practice Proofs:

|Statements |Reasons |

|1. [pic] |1. Given |

|2. [pic] |2. Given |

|3. [pic] |3. Contrapositve of 1 |

|4. [pic] |4. Law of Syllogism of 2 and 3 |

1.

2.

|Statements |Reasons |

|1. [pic] |1. Given |

|2. [pic] |2. Given |

|3. [pic] |3. Given |

|4. [pic] |4. Contrapositive of 1 |

|5. [pic] |5. Law of Syllogism of 3 and 4 |

|6. [pic] |6. Law of Syllogism of 1 and 5 |

3.

|Statements |Reasons |

|1. [pic] |1. Given |

|2. [pic] |2. Given |

|3. [pic] |3. Given |

|4. [pic] |4. Law of Syllogism of 2 and 3 |

|5. [pic] |5. Law of Syllogism of 1 and 4 |

|6. [pic] |6. Contrapositive of 5 |

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