math 8 REVIEW

What do you call the statements that are assumed to be true and do not need proof?

• Axioms

• Defined Terms

• Theorems

• Undefined Terms

What do you call a statement that has become a rule because it has been proven to be true?

• Axioms

• Definitions

• Postulates

• Theorems

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

• Axioms

• Defined Terms

• Theorems

• Undefined Terms

Which of the following is a commutative axiom?

• 7 + 4 = 7 + 4  

• 7 ∙ 4 = 7 ∙ 4

• 7 + 4 = 4 + 7  

• (7 + 4) = 7(4) + 4(7)

Which statement is NOT true?

• Integers are rational numbers.

• Rational numbers are also irrational.

• All counting numbers are real numbers.

• Numbers from zero to ten are natural numbers.

Which of the following statements describes a theorem?

• A theorem is the same thing as a postulate.

• A statement that is accepted as true without a formal proof.

• A statement that is impossible to prove using mathematical reasoning.

• A statement that has been proven to be true based on axioms and other theorems.

Which of the following statements is true about defined terms?

• These are concepts that need to be defined.

• These are statements accepted after it is proved deductively.

• These are concepts that can be defined using the undefined terms.

• These are statements assumed to be true and need no further proof.

What undefined term that has infinite length but no width nor thickness?

• Angle

• Line

• Plane

• Point

Which of the following statements best describe a plane?

• It has length, width, and thickness.​

• It is drawn with arrowheads on both ends.

• It has infinite length and width but no thickness.

• It is a flat surface but cannot be extended in all directions.

Which of the following is a subset of a line with two endpoints?

• Angle

• Line segment

• Midpoint

• Ray