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5. If it is a holiday, then we do not have school.

Warm Up. 1. Make a valid conclusion based on the sentences below: . If it is a weekday then I coach field hockey practice. It is Tuesday, therefore. 5. If it is a holiday, then we do not have school. Conjecture: Today is not a holiday, therefore we do not have school.

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5. If it is a holiday, then we do not have school.

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  1. Warm Up 1. Make a valid conclusion based on the sentences below: If it is a weekday then I coach field hockey practice. It is Tuesday, therefore... 5. If it is a holiday, then we do not have school. Conjecture: Today is not a holiday, therefore we do not have school. Is the conjecture true or false? If false, provide a counterexample. 2. Which law are you using above? 3. Make a valid conclusion using the sentences below: If two angles have the same measure, then they are congruent. If two angles are congruent, then they are the same size and shape. Therefore: 4. Which law are you using above?

  2. Exploration:

  3. Exploration: If a triangle has two congruent angles then it is called isosceles. In triangle ABC, m<A = 80 degrees. In triangle ABC, m<B = 50 degrees. If a triangle is called isosceles then it has two congruent sides. Conclusion: Triangle ABC has two congruent sides. Use the information above to prove and convince me if this conclusion is true or not true. You may re-write (and re-order) the sentences and supplement the sentences with any other work, or visuals as explanation.

  4. http://www.twigcarolina.com/films/proofs-million-dollar-math-4958/http://www.twigcarolina.com/films/proofs-million-dollar-math-4958/

  5. If it is Spring, then it is not Autumn

  6. Detachment Syllogism or Invalid?

  7. If a I eat a banana, then I will throw out the peel. If I throw out the peel, then I will slip on the peel. Therefore, if I eat a banana, I will slip on the peel Detachment Syllogism or Invalid?

  8. Detachment Syllogism or Invalid?

  9. If it is a weekday then I coach field hockey practice. It is Tuesday, therefore I will coach field hockey... Detachment Syllogism or Invalid?

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