   Chapter 2.6, Problem 8E 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).

Figure (1)

Consider arbitrary points A on different point on the polygon.

Figure (2)

Since, there is no point of symmetry exists for the quadrilateral as it is irregular in shape.

The geometric figure (a) is not symmetric about point P.

Consider the geometric figure (b) and consider point P at the centre of the geometric figure with an arbitrary point A

Figure (3)

The geometric figure (b) is not symmetric about point P as the horizontal centre and vertical centre do not coincides for a trapezoid. There is no point of symmetry exists for the trapezoid.

Consider the geometric figure (c) and consider point P at the centre of the geometric figure.

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