To draw an equilateral
Answer to Problem 45PPS
Order of symmetry is
Explanation of Solution
Given:
An equilateral triangle.
Calculation:
This figure appears to have three lines of symmetry as shown below-
To repeat the process of part (a) for square, regular pentagon and regular hexagon.
Explanation of Solution
Given:
Square, regular pentagon and regular hexagon.
Calculation:
The following are the figures showing thee orders of the given shape-
To tabulate the order of symmetry for each
Explanation of Solution
Given:
The polygons are equilateral triangle, square, regular pentagon and regular hexagon.
Calculation:
The following table shows the order of symmetry for each polygon.
Polygon | Order of symmetry |
Equilateral triangle | 3 |
Square | 4 |
Regular pentagon | 5 |
Regular Hexagon | 6 |
To make a conjecture about the values of the order of the symmetry for regular polygon.
Answer to Problem 45PPS
The order of symmetry for any regular polygon is the same as the number of sides.
Explanation of Solution
Given:
Regular polygons.
Calculation:
The following is the conjecture.
The order of symmetry for any regular polygon is the same as the number of sides.
Chapter 9 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Trigonometry (11th Edition)
Introductory Statistics (10th Edition)
College Algebra
Precalculus
Elementary Statistics
Thomas' Calculus: Early Transcendentals (14th Edition)
- 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