In which geometry is there no line parallel to a given line through a point not
on the line?

A. Euclidean
B. Dinaric
C. Spherical
D. Hyperbolic

Respuesta :

Answer:

elliptic

Step-by-step explanation:

Answer:

Through a given point not on a line, there exists no lines parallel to the given line through the given point.

Best suited answer is C. Spherical

Step-by-step explanation:

Given a line and a point not on it, no lines parallel to the given line can be drawn through the point. you get an elliptic geometry.

Euclidean geometry is the kind of geometry that assumes the Euclidean

parallel postulate.  This states that given any line and any point not on

that line, there is exactly one line through that point which is parallel to

the given line.

Hyperbolic :  Simply stated, this Euclidean postulate is: through a point not on a given line there is exactly one line parallel to the given line.