Hyperbolic Geometry: Definition & Postulates


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_____ geometry studies the geometry of saddle-shaped surfaces.

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1. The sum of interior angles in a triangle drawn on a hyperbolic surface will be _____ 180 degrees.

2. Which of these is true about hyperbolic geometry?

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About This Quiz & Worksheet

This quiz and worksheet provides the opportunity to examine what you know about hyperbolic geometry. You'll review your understanding of what it focuses on and key facts about this subject.

Quiz & Worksheet Goals

This quiz and worksheet addresses your understanding of:

  • The type of geometry that studies geometry of saddle-shaped surfaces
  • What is true about the sum of the interior angles of a hyperbolic surface
  • The history of hyperbolic geometry
  • What makes a branch of geometry non-Euclidean

Skills Practiced

  • Interpreting information - verify that you read and were able to interpret a basic understanding of the history of hyperbolic geometry
  • Critical thinking - apply hyperbolic geometry to understand how parallel lines work with this concept
  • Knowledge application - use your knowledge of what makes a branch of geometry non-Euclidean to answer a question about it

Additional Learning

If you would like to learn more about this topic, your opportunity is in the lesson, Hyperbolic Geometry: Definition & Postulates. This lesson offers a deeper dive into:

  • What Euclidean geometry studies
  • What a hyperbolic paraboloid looks like
  • Key postulates that differentiate hyperbolic geometry
  • How the surface differs in hyperbolic geometry
  • The history of hyperbolic geometry