Quiz #1 in Geometry

Proof by construction means

• finding a contradiction in supposing the statement to be false.

• using a calculator.

• proving each part separately.

• using a real example.

You can use only direct proof to prove that a statement is true.

• true

• false

• It depends.

• Not enough information.

Tags

CCSS.HSG.C.A.3

The type of reasoning where a person makes conclusions based on observations and patterns is called

• inductive reasoning

• deductive reasoning

• conjecture

• experiments

“Since all humans are mortal, and I am human, then I am mortal.” This is an example of a/an

• inductive reasoning

• deductive reasoning

• conjecture

• experiments

Tags

CCSS.RI.7.8

CCSS.RL.8.1

CCSS.RL.11-12.1

CCSS.RI.7.1

CCSS.RL.9-10.1

“All cars have at least two doors. A Ford Focus is a car, so the Ford Focus has at least two doors.” This is an example of a/an

• inductive reasoning

• deductive reasoning

• conjecture

• experiments

Original: If Emily is not late to class, then she will not be marked tardy. What is this? If Emily is marked tardy, then she was late to class.

• converse

• contrapositive

• inverse

• negation

Which statement is the converse of the given statement? “If you make an insurance claim, then your rates will go up.”

• If your insurance rates do not go up, then you have not made a claim.

• If you do not make an insurance claim, then your rates will not go up.

• If your insurance rates go up, then you have made an insurance claim.

• If you make an insurance claim, then your rates will not go up.

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 cancelled. 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 cancelled.

Which statement is a valid conclusion based on the argument? “If a polygon is a regular polygon, then the polygon has exactly five congruent angles.” The polygon is a regular polygon.

• Therefore, the polygon is a rectangle.

• Therefore, the polygon is a regular quadrilateral.

• Therefore, the polygon has exactly five congruent angles.

• Therefore, the polygon has congruent sides.

Tags

CCSS.HSG.CO.C.11

Identify the hypothesis and conclusion of the conditional statement “If you give me twenty dollars, then I will be your best friend.”

• Hypothesis: I will be your best friend. Conclusion: You give me twenty dollars.

• Hypothesis: You give me twenty dollars. Conclusion: I will be your best friend.

• Hypothesis: If you have to pay for friends. Conclusion: Then you probably should reevaluate your life.

• Hypothesis: You will not have to pay twenty dollars. Conclusion: If you have lots of friends.