(a)
To Find: The conjecture about the relationship between the number of pointson the
(a)
Answer to Problem 50HP
The points divide the circle in
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
Consider that for
Thus, for
Figure 2
The above diagram shows that for
(b)
To Find: Theway in which the conjecture hold true when there are six points.
(b)
Answer to Problem 50HP
The conjecture is that the n points divide the circles in
Explanation of Solution
Consider the number of points is
Figure 4
The number of regions is
Chapter 2 Solutions
Geometry, Student Edition
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning