5. if it is a holiday, then we do not have school
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
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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.
Warm Up
If it is a weekday then I coach field hockey practice.
It is Tuesday, therefore...
1. Make a valid conclusion based on the sentences below:
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?
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Exploration:
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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.
Exploration:
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http://www.twigcarolina.com/films/proofs-million-dollar-math-4958/
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If it is Spring, then it is not Autumn
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DetachmentSyllogism or Invalid?
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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
DetachmentSyllogism or Invalid?
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DetachmentSyllogism or Invalid?
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If it is a weekday then I coach field hockey practice.
It is Tuesday, therefore I will coach field hockey...
DetachmentSyllogism or Invalid?