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?

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.

Exploration:

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

If it is Spring, then it is not Autumn

DetachmentSyllogism or Invalid?

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?

DetachmentSyllogism or Invalid?

If it is a weekday then I coach field hockey practice.

It is Tuesday, therefore I will coach field hockey...

DetachmentSyllogism or Invalid?