Axioms

What axioms of equality stated that for all real number 𝑝 and 𝑞, if 𝑝 = 𝑞 then 𝑞 = 𝑝?

• Reflexive property

• Substitution property 

• Symmetric property 

• Transitive property 

Identify the property
(a ⋅ b) ⋅ c = a ⋅ (b ⋅ c)

• commutative axiom

• reflexive axiom

• associative axiom

• closure axiom

The Commutative Property states that when adding or multiplying two or more numbers or terms, order is not important. That is:

Identify the property:

39 = 39

• Reflexive
• Symmetric
• Transitive
• Substitution

For any numbers a, b, and c, if a = b and b = c, then a = c.

• Transitive Axiom

• Symmetric Axiom

• Closure Axiom

• Commutative Axiom

There are four parts of the Mathematical system. Which of the following is not a part of the mathematical system?

• corollary

• theorems

• axioms or postulate

• defined and undefined terms

What do you call the statements that can only be described and not defined?

• axioms

• defined terms

• theorems

• undefined terms

A rule that is accepted without proof

• postulate
• theorem
• proof
• conditional statement

A mathematical statement that requires proof is a

• theorem

• postulate

• definition

• conjecture

Which of the following is not an undefined term?

• line

• angle

• plane

• point