Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.

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Answer 1

Textbook Question

Chapter 14, Problem 1RE

Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.

Chapter 14, Problem 1RE, Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.

Expert Solution & Answer

To determine

The reason that the two-provided graphs are equivalent and then draw a third equivalent graph.

Answer to Problem 1RE

Solution:

Both the graphs are equivalent and third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 1

Explanation of Solution

Given:

Consider the provided graphs;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 2

Explanation:

In both figures, the vertices are A, B, C, D and E. Both graphs have an edge that connects vertex A to vertex B (edge AB or BA ), an edge that connects vertex B to vertex C (edge BC or CB ), an edge that connects vertex A to vertex E (edge AE or EA ), an edge that connects vertex A to vertex C (edge AC or CA ) and an edge that connects vertex A to vertex D (edge AD or DA ). Because the two graphs have the same number of vertices connected to each other in the same way, they are equivalent.

Third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 3

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Answer 2

Textbook Question

Chapter 14, Problem 1RE

Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.

Chapter 14, Problem 1RE, Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.

Expert Solution & Answer

To determine

The reason that the two-provided graphs are equivalent and then draw a third equivalent graph.

Answer to Problem 1RE

Solution:

Both the graphs are equivalent and third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 1

Explanation of Solution

Given:

Consider the provided graphs;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 2

Explanation:

In both figures, the vertices are A, B, C, D and E. Both graphs have an edge that connects vertex A to vertex B (edge AB or BA ), an edge that connects vertex B to vertex C (edge BC or CB ), an edge that connects vertex A to vertex E (edge AE or EA ), an edge that connects vertex A to vertex C (edge AC or CA ) and an edge that connects vertex A to vertex D (edge AD or DA ). Because the two graphs have the same number of vertices connected to each other in the same way, they are equivalent.

Third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 3

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Answer 3

Textbook Question

Chapter 14, Problem 1RE

Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.

Chapter 14, Problem 1RE, Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.

Expert Solution & Answer

To determine

The reason that the two-provided graphs are equivalent and then draw a third equivalent graph.

Answer to Problem 1RE

Solution:

Both the graphs are equivalent and third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 1

Explanation of Solution

Given:

Consider the provided graphs;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 2

Explanation:

In both figures, the vertices are A, B, C, D and E. Both graphs have an edge that connects vertex A to vertex B (edge AB or BA ), an edge that connects vertex B to vertex C (edge BC or CB ), an edge that connects vertex A to vertex E (edge AE or EA ), an edge that connects vertex A to vertex C (edge AC or CA ) and an edge that connects vertex A to vertex D (edge AD or DA ). Because the two graphs have the same number of vertices connected to each other in the same way, they are equivalent.

Third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 3

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Answer 4

Textbook Question

Chapter 14, Problem 1RE

Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.

Chapter 14, Problem 1RE, Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.

Expert Solution & Answer

To determine

The reason that the two-provided graphs are equivalent and then draw a third equivalent graph.

Answer to Problem 1RE

Solution:

Both the graphs are equivalent and third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 1

Explanation of Solution

Given:

Consider the provided graphs;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 2

Explanation:

In both figures, the vertices are A, B, C, D and E. Both graphs have an edge that connects vertex A to vertex B (edge AB or BA ), an edge that connects vertex B to vertex C (edge BC or CB ), an edge that connects vertex A to vertex E (edge AE or EA ), an edge that connects vertex A to vertex C (edge AC or CA ) and an edge that connects vertex A to vertex D (edge AD or DA ). Because the two graphs have the same number of vertices connected to each other in the same way, they are equivalent.

Third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 3

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

The reason that the two-provided graphs are equivalent and then draw a third equivalent graph.

Answer to Problem 1RE

Solution:

Both the graphs are equivalent and third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 1

Explanation of Solution

Given:

Consider the provided graphs;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 2

Explanation:

In both figures, the vertices are A, B, C, D and E. Both graphs have an edge that connects vertex A to vertex B (edge AB or BA ), an edge that connects vertex B to vertex C (edge BC or CB ), an edge that connects vertex A to vertex E (edge AE or EA ), an edge that connects vertex A to vertex C (edge AC or CA ) and an edge that connects vertex A to vertex D (edge AD or DA ). Because the two graphs have the same number of vertices connected to each other in the same way, they are equivalent.

Third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 3

Answer 8

Expert Solution & Answer

To determine

The reason that the two-provided graphs are equivalent and then draw a third equivalent graph.

Answer to Problem 1RE

Solution:

Both the graphs are equivalent and third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 1

Explanation of Solution

Given:

Consider the provided graphs;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 2

Explanation:

In both figures, the vertices are A, B, C, D and E. Both graphs have an edge that connects vertex A to vertex B (edge AB or BA ), an edge that connects vertex B to vertex C (edge BC or CB ), an edge that connects vertex A to vertex E (edge AE or EA ), an edge that connects vertex A to vertex C (edge AC or CA ) and an edge that connects vertex A to vertex D (edge AD or DA ). Because the two graphs have the same number of vertices connected to each other in the same way, they are equivalent.

Third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 3

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

The reason that the two-provided graphs are equivalent and then draw a third equivalent graph.

Answer 12

Answer to Problem 1RE

Solution:

Both the graphs are equivalent and third equivalent graph is;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 1

Answer 13

Explanation of Solution

Given:

Consider the provided graphs;

THINKING MATHEMATICALLY W/ACCESS, Chapter 14, Problem 1RE , additional homework tip 2

Explanation:

In both figures, the vertices are A, B, C, D and E. Both graphs have an edge that connects vertex A to vertex B (edge AB or BA ), an edge that connects vertex B to vertex C (edge BC or CB ), an edge that connects vertex A to vertex E (edge AE or EA ), an edge that connects vertex A to vertex C (edge AC or CA ) and an edge that connects vertex A to vertex D (edge AD or DA ). Because the two graphs have the same number of vertices connected to each other in the same way, they are equivalent.