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Five lines are drawn in the plane. (a) What is the smallest number of points of intersection of the five lines? (b) What is the largest number of points of intersection? (c) If m is an integer between the largest and smallest number of intersection points, can you arrange the lines to have m points of intersection? You are being asked to decide which values of m have such an arrangement and which don't.

Five lines are drawn in the plane. (a) What is the smallest number of points of intersection of the five lines? (b) What is the largest number of points of intersection? (c) If m is an integer between the largest and smallest number of intersection points, can you arrange the lines to have m points of intersection? You are being asked to decide which values of m have such an arrangement and which don't.

Elementary Geometry For College Students, 7e
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.CT: Test
Problem 1CT
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Five lines are drawn in the plane. (a) What is the smallest number of points of intersection of the five lines? (b) What is the largest number of points of intersection? (c) If m is an integer between the largest and smallest number of intersection points, can you arrange the lines to have m points of intersection? You are being asked to decide which values of m have such an arrangement and which don't.
Transcribed Image Text:Five lines are drawn in the plane. (a) What is the smallest number of points of intersection of the five lines? (b) What is the largest number of points of intersection? (c) If m is an integer between the largest and smallest number of intersection points, can you arrange the lines to have m points of intersection? You are being asked to decide which values of m have such an arrangement and which don't.
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