these Springfiel cities, so the family decides to drive to St. Louis on the first day of their vacation. The family checks a road map and finds that their first day's drive will be a distance of 242 miles, and the drive from St. Louis to Springfield on une second day will be 217 miles. Explain the apparent discrepancy in their findings. REVIEW 21. True or False In Euclidean geometry: a. Through any three points there is exactly one line. b. Every plane has infinitely many points. c. Any line is parallel to itself. (Lesson 1-5) 22. Use the assumptions of Euclidean geometry to explain why, in a plane, there is a set of points that are not collinear. (Lessons 1-4, 1-5) 23. Give an example to show that the Unique Line Assumption is true in discrete geometry. (Lessons i-3, 1-5) In 24 and 25, solve the given inequality. (Previous course) 25. 등-을 2 a a 24. 4x + 7 < 5x + 2 1108

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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#22 and 24
these tw
Springfiel
cities, so the family decides to drive to
St. Louis on the first day of their vacation.
The family checks a road map and finds
that their first day's drive will be a distance
of 242 miles, and the drive from St. Louis to Springfield on uie
second day will be 217 miles. Explain the apparent discrepancy
in their findings.
REVIEW
21. True or False In Euclidean
geometry:
a. Through any three points there is exactly one line.
b. Every plane has infinitely many points.
c. Any line is parallel to itself. (Lesson 1-5)
22. Use the assumptions of Euclidean geometry to explain why,
in a plane, there is a set of points that are not collinear.
(Lessons 1-4, 1-5)
23. Give an example to show that the Unique Line Assumption is
true in discrete geometry. (Lessons i-3, 1-5)
In 24 and 25, solve the given inequality. (Previous course)
24. 4x + 7 < 5x + 2
25. 등-을 2
a
a
EXPLORATION
6. Suppose A, B, and C are points in the plane.
a. Give a simple description of the following set: the set
consisting of the points A, B, and C, and all the points
that are between A and B or between B and C or betwe
C and A.
Transcribed Image Text:these tw Springfiel cities, so the family decides to drive to St. Louis on the first day of their vacation. The family checks a road map and finds that their first day's drive will be a distance of 242 miles, and the drive from St. Louis to Springfield on uie second day will be 217 miles. Explain the apparent discrepancy in their findings. REVIEW 21. True or False In Euclidean geometry: a. Through any three points there is exactly one line. b. Every plane has infinitely many points. c. Any line is parallel to itself. (Lesson 1-5) 22. Use the assumptions of Euclidean geometry to explain why, in a plane, there is a set of points that are not collinear. (Lessons 1-4, 1-5) 23. Give an example to show that the Unique Line Assumption is true in discrete geometry. (Lessons i-3, 1-5) In 24 and 25, solve the given inequality. (Previous course) 24. 4x + 7 < 5x + 2 25. 등-을 2 a a EXPLORATION 6. Suppose A, B, and C are points in the plane. a. Give a simple description of the following set: the set consisting of the points A, B, and C, and all the points that are between A and B or between B and C or betwe C and A.
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