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Question 1

A) What type of proof uses boxes and arrows? (1 point)

a two-column proof

an indirect proof

a paragraph proof

a flowchart proof

Question 2

A)

Which of the following could be the first sentence in a paragraph proof of the statement

below?

If 2x + 5 = 11, then x = 3 .

(1 point)

The solution of the given statement is 2x + 5

The solution of the given statement is x

The given statement is 2x + 5

The given statement is x

:

Question 3

= 3.

= 11 .

= 3.

= 11 .

Question 3

A) True or false: Most proofs in geometry are called direct proofs because theorems

and postulates are used to prove a statement using a direct approach. (1 point)

The statement is true.

The statement is false. Most proofs in geometry are called direct proofs because it is

assumed the given statement is false and end the proof with a contradiction.

The statement is false. All proofs in geometry are called direct proofs because theorems

and postulates are used to prove a statement in a using a direct approach.

The statement is false. Most proofs in geometry are called indirect proofs because

theorems and postulates are used to prove a statement in a using a direct approach.

Question 4

A) What is required to prove that a conjecture is false? (1 point)

Only a single alternative conjecture is necessary to prove a conjecture false.

Numerous counterexamples are necessary to prove a conjecture false.

Only a single counterexample is necessary to prove a conjecture false.

Numerous alternative conjectures are necessary to prove a conjecture false.

:

Question 5

Question 5

A)

When proving the statement below, what is the long-term goal?

If 3r − 8 = 10 , then r = 6.

(1 point)

proving that r

=6

proving that 3r − 8

= 10

adding 8 to both sides of the equation

:

dividing both sides of the equation by 3

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Explanation & Answer:

5 Questions

Tags:

long term goal

sides of the equation

alternative conjectures

single counterexample

theorems and postulates

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