   Chapter 2.6, Problem 31E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# A regular hexagon is rotated about acentrally located point (as shown). Howmany rotations are needed to repeat thegiven hexagon, vertex for vertex, if theangle of rotation is a) 30 ° ? b) 60 ° ? c) 90 ° ? d) 240 ° ?

To determine

a)

To find:

The rotation needed to repeat the hexagon vertex-for vertex.

Explanation

Given:

The angle of rotation is 30°.

The given figure is,

Figure (1)

Property:

The hexagon repeats vertex-for vertex if it is rotated for angle of 60° or its multiple angle such as 180°, and 240°

To determine

b)

To find:

The rotation needed to repeat the hexagon vertex-for vertex.

To determine

c)

To find:

The rotation needed to repeat the hexagon vertex-for vertex.

To determine

d)

To find:

The rotation needed to repeat the hexagon vertex-for vertex.

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