Tofind:the order of the symmetry if the figure shown rotational symmetry.
Answer to Problem 7STP
The order is
Explanation of Solution
Given:
Concept used:
It is in symmetry a figure exists if there is a reflection, rotation, or translation that can be performed and the image is identical. Rotational symmetry exists when the figure can be rotated and the image is identical to the original.
Regular
Order of the rotation:
A figure has rotational symmetry if it coincides with itself in a rotation less than 360 degrees.
The order of rotation of a figure is the number of times it coincides with itself in a rotation less than 360 degrees.
The
Calculation:
If the figure has rotational symmetry and if so, gives the order of symmetry, then the figure has order
Hence, the order is
Chapter 10 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