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AXIOMATIC STRUCTURE OF MATHEMATICAL SYSTEM IN GEOMETRY particular: (a) defined terms; (b) undefined terms; (c) postulates; and (d) theorems

Quiz by MARY JOY DAYO

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10 questions
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  • Q1
    In geometry, which of the following is a statement that is accepted without proof and serves as a starting point for further reasoning?
    Theorem
    Undefined term
    Defined term
    Postulate
    30s
  • Q2
    Which of the following terms in geometry cannot be formally defined using other terms but is understood intuitively?
    Theorem
    Defined term
    Postulate
    Undefined term
    30s
  • Q3
    What is the name of a statement in geometry that has been proven to be true using definitions, postulates, and previously proven theorems?
    Undefined term
    Theorem
    Defined term
    Postulate
    30s
  • Q4
    Which of the following is a term in geometry that is explicitly defined using other known terms?
    Theorem
    Undefined term
    Postulate
    Defined term
    30s
  • Q5
    Which of the following statements describes a fundamental assumption in geometry that does not require proof?
    Defined term
    Proposition
    Postulate
    Theorem
    30s
  • Q6
    In geometry, which term is used for a concept that can be described with examples but is not strictly defined?
    Defined term
    Postulate
    Theorem
    Undefined term
    30s
  • Q7
    What type of statement in geometry is both a logical conclusion and dependent on previously established postulates and theorems?
    Theorem
    Postulate
    Defined term
    Undefined term
    30s
  • Q8
    Which of the following is an example of a statement that summarizes a relationship between geometric figures and is proven based on definitions or postulates?
    Postulate
    Theorem
    Undefined term
    Defined term
    30s
  • Q9
    Which term refers to a statement that serves as a basis for further geometric reasoning and does not need to be proven?
    Defined term
    Postulate
    Undefined term
    Theorem
    30s
  • Q10
    In geometric reasoning, which of the following terms is used for a concept that has been explicitly defined and can be clearly understood through its definition?
    Postulate
    Theorem
    Defined term
    Undefined term
    30s

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