Decide whether the given postulate or theorem of Euclidean geometryappears to be true or false in elliptic geometry. Support your conclusion about each statement w ith one or more diagrams.a. Postulate 6: Through any two points there is exactly one line. b. Theorem 3-7: In a plane two lines perpendicular to the same line are parallel.c. Theorem 3-11: The sum of the measures of the angles of a triangle is 180c d. Theorem 6-1: The measure of an exterior angle of a triangle is greater than the measure of either remote interior anale.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.1: Locus Of Points
Problem 48E
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Decide whether the given postulate or theorem of Euclidean geometry
appears to be true or false in elliptic geometry. Support your conclusion about each statement w ith one or more diagrams.
a. Postulate 6: Through any two points there is exactly one line.

b. Theorem 3-7: In a plane two lines perpendicular to the same line are parallel.
c. Theorem 3-11: The sum of the measures of the angles of a triangle is 180c
 d. Theorem 6-1: The measure of an exterior angle of a triangle is greater than the measure of either remote interior anale.

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