Question

1. what is the main characteristic of non - euclidean geometry?

a. it allows for curved spaces.
b. it only uses right angles.
c. it involves only flat surfaces.
d. it strictly follows euclids postulates.

Explanation:

Non - Euclidean geometry is a type of geometry that differs from Euclidean geometry. Euclidean geometry is based on flat spaces and Euclid's postulates. Non - Euclidean geometry, on the other hand, allows for curved spaces. Option b is incorrect as non - Euclidean geometry does not only use right angles. Option c is incorrect because it is Euclidean geometry that involves flat surfaces. Option d is incorrect since non - Euclidean geometry does not strictly follow Euclid's postulates.

Answer:

A. It allows for curved spaces.