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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 9.2, Problem 16E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

Refer to the prisms of Exercises 1 and 2. Which of these have symmetry with respect to a point?

To determine

To find:

The prism that has symmetry with respect to a point.

Explanation

Given:

The prism from Exercise given below

1. a)

Bases are not regular.

1. b)

Bases are not regular.

2. a)

Bases are regular.

2. b)

Bases are not regular.

Properties Used:

Symmetry is when two or more parts are identical after a flip, slide or turn. A point of symmetry is an imaginary point along which the figure is flipped, slides or turned to get two or more identical parts.

To have this type of symmetry, a point can be drawn such that every point of the figure has a corresponding point directly opposite and at the same distance from the point as shown in figure below

Point symmetry can also be described as rotational symmetry of 180° i.e. if the figure appears unchanged after a rotation about a point by an angle of 180°.

Calculation:

In the figure (1a) given below

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Chapter 9.2,
Problem 15E
Chapter 9.2,
Problem 17E
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Sect-9.1 P-1ESect-9.1 P-2ESect-9.1 P-3ESect-9.1 P-4ESect-9.1 P-5ESect-9.1 P-6ESect-9.1 P-7ESect-9.1 P-8ESect-9.1 P-9ESect-9.1 P-10E
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