Geometry 2.3&2.4 Quiz

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...

• Look out for the snowplows while driving to school.
• The big test will not be given today.
• The roads will be hard to drive on.
• You should call the school to see if school is canceled.

How would you describe the Law of Detachment symbolically?

• if p -> q is true and q is true; then p is true

• if p -> q is true and p is true; then q is true

• if p -> q and q -> r, then p -> r

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If your parents let you borrow the car, then you will go to the movies with your friend. You will go to the movies with your friend.

• Your parents let you borrow the car.

• Your parents didn't let you borrow the car.

• Not possible

If the school cafeteria sells pizza today, Greg is going to eat four pieces. Pizza is on sale for school lunch today.

Using deductive reasoning, what statement can you make based on this information?

• Lots of people will buy pizza.

• The school cafeteria sells pizza.

• Greg will eat four pieces of pizza.

• Greg needs to go on a diet.

What can you conclude from the given true statements?

If an animal is a dog, then they like biscuits.

Sammy is a dog.

• Sammy is a Great Dane

• Sammy likes biscuits.

• Sammy is really a cat.

• We can't conclude anything.

What can you conclude from the given true statements?

If I study for one hour each day, then I will score well on the exam.

I score well on the exam.

• I studied for one hour each day.

• I studied a lot.

• I didn't study.

• We can't conclude anything.

What can you conclude from the given true statements?

All trees are living things.

Narra is a tree.

• Narra is a living thing

• Narra is not a living thing.

• Living things are Narra

• We can't conclude anything.

What can you conclude from the given true statements?

No human can fly.

I am a human.

• I can fly.

• I cannot fly.

• I am not a human.

• We can't conclude anything.

Which of the following statements is valid based on the given scenario?
If Jason plays basketball, then Steve sits on the bench.  
If Steve sits on the bench, then Ronald starts at center.  

• If Steve sits on the bench then Jason plays basketball.
• If Ronald starts at center then Jason plays basketball.
• If Steve sits the bench then Ronald does not start at center.
• If Jason plays basketball then Ronald starts at center.

Draw a conclusion from the statement.

Given: If you are at least 25 year old, then you can rent a car.

Clay can rent a car.

Conclusion: ?

• Clay is at least 25 years old.

• Clay can rent a car.

• Clay can go on a road trip.

• No valid conclusion.