a.
Verify the statement.
a.
Answer to Problem 8PSB
Verified.
Explanation of Solution
Given information:
The perpendicular bisector of a side of a regular pentagon passes through the opposite vertex.
Calculation
The figure as per the statement,
The perpendicular bisector of a side of a regular pentagon passes through the opposite vertex
Hence, verified.
b.
Verify the statement.
b.
Answer to Problem 8PSB
Verified.
Explanation of Solution
Given information:
Generalize about the perpendicular bisectors of the sides of regular polygons.
Calculation
The figure as per the statement,
If you bisect the interior
Circumcenter - the point where the three perpendicular bisectors of the sides meet.
Centroid - the point where the altitudes meet.
In the case of regular polygons these centers are all in the same place. In the case of
Hence, verified.
Chapter 7 Solutions
Geometry For Enjoyment And Challenge
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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