(a). Explanation Graph: Let A ′ B ′ C ′ D ′ E ′ be the reflection of the pentagon ABCDE . Consider the point A which is 3 units above the line l . Thus, the point A ′ should be 3 units below the line l . Consider the point B which is 2 units above the line l . Thus, the point B ′ should be 2 units below the line l . Consider the point C which is 2 units below the line l . Thus, the point C ′ should be 2 units above the line l . Consider the point D which is 3 units below the line l . Thus, the point D ′ should be 3 units above the line l (b). To determine To check: The position of the pentagon A ′ B ′ C ′ D ′ E ′ and the position of the pentagon ABCDE are identical or not. (c). To determine The pentagon ABCDE have reflective symmetry about the line l or not.

A Survey of Mathematics with Applications (10th Edition) - Standalone book

10th Edition

ISBN: 9780134112107

Author: Allen R. Angel, Christine D. Abbott, Dennis Runde

Publisher: PEARSON

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Question

Chapter 8.5, Problem 44E

(a).

To determine

To construct: The reflection graph of the pentagon ABCDE about the line l.

(b).

To determine

To check: The position of the pentagon A′B′C′D′E′ and the position of the pentagonABCDE are identical or not.

(c).

To determine

The pentagon ABCDE have reflective symmetry about the line l or not.

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Chapter 8.5, Problem 43E

Chapter 8.5, Problem 45E

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Chapter 8 Solutions

A Survey of Mathematics with Applications (10th Edition) - Standalone book

Knowledge Booster

To construct: The reflection graph of the pentagon ABCDE about the line l .

To construct: The reflection graph of the pentagon ABCDE about the line l.

To check: The position of the pentagon A′B′C′D′E′ and the position of the pentagonABCDE are identical or not.

The pentagon ABCDE have reflective symmetry about the line l or not.

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Chapter 8 Solutions