Non-Euclidean Geometry Quiz
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Non-Euclidean Geometry Quiz

Created by
@CohesiveNovaculite

Questions and Answers

What is the defining factor that distinguishes non-Euclidean geometry from Euclidean geometry?

The parallel postulate

What is the maximum sum of angles of a triangle in elliptical geometry?

540°

What is the maximum length of a line in hyperbolic geometry?

There is no maximum length of a line in hyperbolic geometry

What is the maximum area of a triangle in hyperbolic geometry?

<p>π</p> Signup and view all the answers

What is the sum of angles of a triangle in hyperbolic geometry?

<p>It approaches 0°</p> Signup and view all the answers

Which type of non-Euclidean geometry has a maximum line length?

<p>Elliptical geometry</p> Signup and view all the answers

Why are there no similar triangles in hyperbolic geometry?

<p>The angles of the larger triangle will be smaller</p> Signup and view all the answers

What is the maximum sum of angles of a triangle in hyperbolic geometry?

<p>Approaches 0°</p> Signup and view all the answers

What is the proof that there are only two types of non-Euclidean geometry?

<p>Proof by Hilton</p> Signup and view all the answers

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