Take these properties and put the letter by the geometry. Each property can be u

ID: 2899514 • Letter: T

Question

Take these properties and put the letter by the geometry. Each property can be used more than once.

A. has an axiomatic structure

B. has no parallel lines through an external point to a given line

C. has more than one parallel line through an external point to a given line

D. has exactly one parallel line through an external point to a given line

E. has triangles

F. has biangles

G. has circles

H. has a geometric coordinate for each point

I. "betweeness" is not well defined

J. has a finite number of points

K. has an infinte number of points

L. is unboudned

M. is bounded

N. is categorical (i.e. has exactly one model)

O. is not categorical

P. has collinear points

Q. Side Angle Side holds

R. the sum of the measures of the interior angles is more than 180 degrees

S. 2 points determine exactly one line

T. lines are made of "line stuff" (they're not necessarily lines made of points)

U. lines are made of points in a one-to-one correspondence with the real numbers

V. vertical angles are congruent

W. has a distance function that is a metric

X. circles can have 2 centers

Y. the sum of the measures of the interior angles is less than 180 degrees

Z. the Pythagorean Theorem holds and is about side lengths of right triangles

Geometries:

A Flexible Geometry

The Three-Point Geometry

The Four-Point Geometry

The Six-Point Geometry

Fano's Geometry

The Klein Disc

Taxicab Geometry

Spherical Geometry

Hyperbolic Geometry

Euclidean Geometry

Explanation / Answer