Explanation Given information: The square pattern that covers the plane is first flip the pattern about a diagonal line through the central square and then rotates with 90 ° clockwise. The square patternthat covers the plane is first rotate 90 ° clockwise and then flips the square pattern . Calculation: Consider a square pattern with diagonal is shown below. Consider the Figure 2 when the square patterns are first flip and then rotate by 90 ° clockwise.

The Heart of Mathematics: An Invitation to Effective Thinking

4th Edition

ISBN: 9781118156599

Author: Edward B. Burger, Michael Starbird

Publisher: Wiley, John & Sons, Incorporated

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Question

Chapter 4.4, Problem 20MS

To determine

To check: Whether the symmetry obtained when the square pattern is flipped first and then rotatedis same as when the square pattern is rotated and then flipped.

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Chapter 4.4, Problem 19MS

Chapter 4.4, Problem 21MS

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Chapter 4 Solutions

The Heart of Mathematics: An Invitation to Effective Thinking

Ch. 4.1 - The main event. State the Pythagorean Theorem.Ch. 4.1 - Two out of three. If a right triangle has legs of...Ch. 4.1 - Hypotenuse hype. If a right triangle has legs of...Ch. 4.1 - Assesing area. Suppose you know the base of a...Ch. 4.1 - Squares all around. How does the figure below...Ch. 4.1 - Operating on the triangle. Using a straightedge,...Ch. 4.1 - Excite your friends about right triangles....Ch. 4.1 - Easy as 1,2,3? Can there be a right triangle with...Ch. 4.1 - Sky high (S). On a sunny, warm day, a student...Ch. 4.1 - Sand masting (H). The sailboat named Sand Bug has...

Knowledge Booster

To check: Whether the symmetry obtained when the square pattern is flipped first and then rotatedis same as when the square pattern is rotated and then flipped.

Solution Summary: The author explains that the symmetry obtained by flip and then rotates of the square patterns does not same if they are rotated and flipped.

To check: Whether the symmetry obtained when the square pattern is flipped first and then rotatedis same as when the square pattern is rotated and then flipped.

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Chapter 4 Solutions