CH 2/3 Quiz GEOM

Which of the following conjectures is false?

• The product of two even numbers is even.
• The sum of two even numbers is even.
• the product of two odd numbers is odd.
• The sum of two odd numbers is odd.

Using deductive reasoning, 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.

Inductive Reasoning means...

• Guessing without any information

• Testing and observing patterns to make conjectures

• Drawing conclusions from situations based on facts and definitions

• Sounding knowledgeable even when you are not

• a = 8, b = 4

• a = 10, b = 5

• a = 6, b = 3

• a = 4, b = 2

If a student wants to go to university, then the student must study hard and write a good application. Zach wants to go to Caltech.

• Zach must study hard and write a good application.

• No Conclusion can be made.

• Zach will not study but will write a good application.

• Zach got accepted to Caltech.

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

• Law of Detachment

• Law of Syllogism

• Law of Contrapositive

• None

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, therefore

• 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.

Complete the Plane-Point Postulate:

"A plane contains ____________________"

• at least two noncollinear points

• at least three noncollinear points.

• no more than 3 noncollinear points

• none of the above

What goes in line 1 of the reasons?

• Given

• Addition POE

• Distributive Property

What goes in line 2 of the reasons?

• Subtraction POE

• Addition POE

• Distributive Property