   Chapter 2.5, Problem 37E 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

Consider any regular polygon; find and join (in order) the midpoints of the sides. What does intuition tell you about the resulting polygon?

To determine

To find:

The resulting polygon after joining the midpoint of each sides.

Explanation

Consider a regular polygon of three sides and join the midpoint of each side as shown in the figure below.

Figure-(1)

As shown in the figure (1), after joining the midpoints of each side the polygon, polygon is still a regular polygon of three sides.

Consider a regular polygon of four sides and join the midpoint of each sides as shown in the figure below

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