Explanation Given: The rectangle is, Concept used: Symmetry: A line which divides the Figure into two pieces. The Figures are mirror images of each other. Rotation: Circular movement of an object around the center. Reflection: When the image bounces of an object. The phenomenon is known as reflection. Consider the following figure: Figure ( 1 ) There are two types of symmetry is defined. First is rotation and second is reflection. The symmetry is defined that cut the figure horizontally; Figure ( 2 ) The resultant figure is obtained. Figure ( 3 ) The symmetry is defined that cut the figure vertically; Figure ( 4 ) The resultant figure is obtained; Figure ( 5 ) The conclusion is there are two reflection symmetries. The two symmetries are defined as axis of mid points of AB and DC To determine (b) To list: All the symmetries of the parallelogram. To determine (c) To list: All the symmetries of the trapezium.

Excursions in Modern Mathematics (9th Edition)

9th Edition

ISBN: 9780134468372

Author: Peter Tannenbaum

Publisher: PEARSON

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Question

Chapter 11, Problem 39E

To determine

(a)

To list:

All the symmetries of the given rectangle.

To determine

(b)

To list:

All the symmetries of the parallelogram.

To determine

(c)

To list:

All the symmetries of the trapezium.

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Chapter 11, Problem 38E

Chapter 11, Problem 40E

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