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

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

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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