   Chapter 2.6, Problem 32E ### 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 octagon is rotated about acentrally located point (as shown). Howmany rotations are needed to repeat thegiven octagon, vertex for vertex, if theangle of rotation is a) 10 ° b) 45 ° c) 90 ° d) 120 °

To determine

a)

To find:

The rotations needed to repeat the octagon vertex-for vertex.

Explanation

Given:

The angle of rotation is 10°.

The given figure is,

Figure (1)

Property:

The octagon repeats vertex-for vertex if it is rotated for angle of 45° or its multiple angle such as 90°, and 180°, 360°

To determine

b)

To find:

The rotations needed to repeat the octagon vertex-for vertex.

To determine

c)

To find:

The rotations needed to repeat the octagon vertex-for vertex.

To determine

d)

To find:

The rotations needed to repeat the octagon vertex-for vertex.

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