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Questions and Answers
Which of the following best describes an equivalence relation in mathematics?
Which of the following best describes an equivalence relation in mathematics?
- A relation that is only transitive
- A relation that is reflexive, symmetric, and transitive (correct)
- A relation that is only symmetric
- A relation that is only reflexive
What is an example of an equivalence relation in geometry?
What is an example of an equivalence relation in geometry?
- The equipollence relation between line segments (correct)
- The relation between a line segment and an angle
- The relation between a point and a line
- The relation between two different line segments
Which of the following is NOT a property of an equivalence relation?
Which of the following is NOT a property of an equivalence relation?
- Symmetry
- Transitivity
- Antisymmetry (correct)
- Reflexivity
What does an equivalence relation provide for a set?
What does an equivalence relation provide for a set?
Which notation is commonly used to denote that two elements are equivalent with respect to an equivalence relation?
Which notation is commonly used to denote that two elements are equivalent with respect to an equivalence relation?
Which of the following best describes an equivalence relation?
Which of the following best describes an equivalence relation?
What is an example of an equivalence relation in geometry?
What is an example of an equivalence relation in geometry?
What does an equivalence relation provide for a set?
What does an equivalence relation provide for a set?
Which notation is commonly used to denote that two elements are equivalent with respect to an equivalence relation?
Which notation is commonly used to denote that two elements are equivalent with respect to an equivalence relation?
What is the reflexive property of an equivalence relation?
What is the reflexive property of an equivalence relation?
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