Three noncollinear points determine three lines, as shown in the figure. (a) How many lines are determined by four points, no three of which are collinear? (b) How many lines are determined by five points, no three of which are collinear? (c) How many lines are determined by n points? Assume that no three points are collinear.
Three noncollinear points determine three lines, as shown in the figure. (a) How many lines are determined by four points, no three of which are collinear? (b) How many lines are determined by five points, no three of which are collinear? (c) How many lines are determined by n points? Assume that no three points are collinear.
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
SectionP.3: Informal Geometry And Measurement
Problem 9E: Must two different points be collinear? Must three or more points be collinear? Can three or more...
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Transcribed Image Text:Three noncollinear points determine three lines, as shown in the figure.
(a) How many lines are determined by four points, no three of which are collinear?
(b) How many lines are determined by five points, no three of which are collinear?
(c) How many lines are determined by n points? Assume that no three points are collinear.
...
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