   Chapter 2.6, Problem 7E 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

Which geometric figures have symmetry with respect to a point? To determine

To choose:

The geometric figures having symmetry with respect to a point.

Explanation

Consider the geometric figure (a) and consider point P at the center of the geometric figure.

Figure (1)

Consider arbitrary points A, B, and C on the polygon.

Figure (2)

For each arbitrary point on the polygons, there is second point corresponding to it such that point P is the midpoint of the line formed by the points.

Figure (3)

The points A, B, and C, on the polygon corresponding to points A, B, and C on the such that P is the midpoint of the line from the points.

The geometric figure (a) is symmetric about point P.

Consider the geometric figure (b) and consider point P at the center of the geometric figure.

Figure (4)

Consider arbitrary points A, B, and C on the polygon.

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