Above, we have created a visual representation of a pentagon using the GeoGebra platform. We chose GeoGebra to visualize our pentagon because it allows us to visualize it accurately, ensuring that all five sides are of equal length and the angles and measurements are precise. Furthermore, let us analyze our pentagon. In our visual, we can see that the pentagon has five equal interior angles, each measuring 108 degrees. This pentagon is equiangular because all its angles are equal in size, with each angle being precisely 108 degrees. It is also equilateral because all five sides of the pentagon have the same length. Since this pentagon is both equiangular and equilateral, then it is classified as a regular pentagon. Regular Pentagon Vanessa

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
Problem 26E
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Suppose you have a pentagon with all five sides equal in length. Must the pentagon be a regular pentagon?

 

I have attached what I have so far. please help explain house visual thoroughly for math problem. 

Above, we have created a visual representation of a pentagon using the GeoGebra
platform. We chose GeoGebra to visualize our pentagon because it allows us to visualize it
accurately, ensuring that all five sides are of equal length and the angles and measurements are
precise. Furthermore, let us analyze our pentagon. In our visual, we can see that the pentagon
has five equal interior angles, each measuring 108 degrees. This pentagon is equiangular
because all its angles are equal in size, with each angle being precisely 108 degrees. It is also
equilateral because all five sides of the pentagon have the same length. Since this pentagon is
both equiangular and equilateral, then it is classified as a regular pentagon.
Regular Pentagon
Vanessa
Transcribed Image Text:Above, we have created a visual representation of a pentagon using the GeoGebra platform. We chose GeoGebra to visualize our pentagon because it allows us to visualize it accurately, ensuring that all five sides are of equal length and the angles and measurements are precise. Furthermore, let us analyze our pentagon. In our visual, we can see that the pentagon has five equal interior angles, each measuring 108 degrees. This pentagon is equiangular because all its angles are equal in size, with each angle being precisely 108 degrees. It is also equilateral because all five sides of the pentagon have the same length. Since this pentagon is both equiangular and equilateral, then it is classified as a regular pentagon. Regular Pentagon Vanessa
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