Geometry Basics Quiz

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Questions and Answers

What are mathematicians who work in the field of geometry called?

  • Calculusian
  • Geometer (correct)
  • Arithmetician
  • Algebraist

What did Carl Friedrich Gauss' Theorema Egregium assert?

  • Gaussian curvature depends on the specific embedding in a Euclidean space
  • Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space (correct)
  • Gaussian curvature is not relevant in Euclidean space
  • Gaussian curvature is only applicable to non-Euclidean spaces

What was geometry almost exclusively devoted to until the 19th century?

  • Euclidean geometry (correct)
  • Analytic geometry
  • Non-Euclidean geometry
  • Algebraic geometry

What is geometry concerned with?

<p>Properties of space such as distance, shape, size, and relative position of figures (A)</p> Signup and view all the answers

In what area of mathematics are methods of algebraic geometry fundamental?

<p>Wiles's proof of Fermat's Last Theorem (B)</p> Signup and view all the answers

What are the fundamental concepts included in Euclidean geometry?

<p>Point, line, plane, distance, angle, surface, and curve (B)</p> Signup and view all the answers

In what area did Carl Friedrich Gauss make a remarkable discovery with Theorema Egregium?

<p>Gaussian curvature of a surface (C)</p> Signup and view all the answers

What problem was Wiles's proof of Fermat's Last Theorem stated in terms of?

<p>Elementary arithmetic (D)</p> Signup and view all the answers

What is the branch of mathematics concerned with properties of space such as distance, shape, size, and relative position of figures?

<p>Geometry (A)</p> Signup and view all the answers

What are mathematicians who work in the field of geometry called?

<p>Geometer (A)</p> Signup and view all the answers

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