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Which of the following is a characteristic of hyperbolic geometry?

A. There are an infinite number of lines parallel to a given line
through a given point.

B. There is exactly one line perpendicular to a given line through a
given point.

C. There is exactly one line parallel to a given line through a given
point.

D. There are an infinite number of lines perpendicular to a given line
through a given point.

Respuesta :

ghs051965

Answer:

A

Step-by-step explanation:

Hyperbolic geometry is defined as a non-Euclidean geometry.

(invalidating the fifth postulate of Euclid's five fundamental postulates)

Choice B and D can be eliminated because this has nothing to do with perpendicular lines.

Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates

We are left with A by the process of elimination

tanvii56

Answer:

A. There are an infinite number of lines parallel to a given line through a given point.

Hope this Helps!

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