Match the scenario with the law of logic it illustrates. Question 1 options:

__Law of Syllogism

__Not a valid conclusion has been made.

__Law of Contrapositive

__Law of Detachment

1.
If it is raining, I will use an umbrella.

It is raining.

Therefore, I will use an umbrella.

2.
If the sun sets, it will be dark outside.

It is not dark outside.

Therefore, the sun hasn't set yet.

3.
If I do well on my assignments, my grade will improve.

If my grade improves, my parents will be happy.

Therefore, if I do well on my assignments, my parents will be happy.

4.
If I cook dinner, my daughter will eat.

My daughter ate.

Therefore, I cooked dinner.

I just took this and got an A, so here are the answers :)

Make sure to take notes or put this with your notes! :))

Law of Syllogism: 3

If I do well on my assignments, my grade will improve.

If my grade improves, my parents will be happy.

Therefore, if I do well on my assignments, my parents will be happy.

Not a valid conclusion has been made: 4

If I cook dinner, my daughter will eat.

My daughter ate.

Therefore, I cooked dinner.

Law of contrapositive : 2

If the sun sets, it will be dark outside.

It is not dark outside.

Therefore, the sun hasn't set yet

Law of Detachment: 1

If it is raining, I will use an umbrella.

It is raining.

Therefore, I will use an umbrella.

explanation:

Syllogism:

p → q and q → r then p → r is also true.

Contrapositive:

If not q, then not p.

Detachment:

If p , then q