Given the following regular polygon, how many lines of symmetry does the object have? O 3 O 1 O Cannot be determined based on this information.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
### Question on Regular Polygons and Lines of Symmetry

**Given the following regular polygon, how many lines of symmetry does the object have?**

The diagram depicts a regular hexagon, a polygon with six equal sides and angles.

#### Multiple Choice Options:
- O 3
- O 6
- O 1
- O Cannot be determined based on this information

#### Explanation of the Diagram:
The image in question is a regular hexagon. A hexagon is defined as a six-sided polygon, and a *regular hexagon* has all sides and all angles equal. The vertices of the hexagon are marked with red dots.

**Lines of Symmetry in a Regular Hexagon:**
A line of symmetry is an imaginary line that divides a shape into two identical parts, each mirroring the other. A regular hexagon has several lines of symmetry:
- It can be divided along lines that pass through opposite vertices.
- It can also be divided along lines that bisect opposite sides.

In total, a regular hexagon has 6 lines of symmetry:
1. Three lines each passing through two opposite vertices.
2. Three lines each bisecting two opposite sides or edges.

Thus, the correct answer is:
- O 6
Transcribed Image Text:### Question on Regular Polygons and Lines of Symmetry **Given the following regular polygon, how many lines of symmetry does the object have?** The diagram depicts a regular hexagon, a polygon with six equal sides and angles. #### Multiple Choice Options: - O 3 - O 6 - O 1 - O Cannot be determined based on this information #### Explanation of the Diagram: The image in question is a regular hexagon. A hexagon is defined as a six-sided polygon, and a *regular hexagon* has all sides and all angles equal. The vertices of the hexagon are marked with red dots. **Lines of Symmetry in a Regular Hexagon:** A line of symmetry is an imaginary line that divides a shape into two identical parts, each mirroring the other. A regular hexagon has several lines of symmetry: - It can be divided along lines that pass through opposite vertices. - It can also be divided along lines that bisect opposite sides. In total, a regular hexagon has 6 lines of symmetry: 1. Three lines each passing through two opposite vertices. 2. Three lines each bisecting two opposite sides or edges. Thus, the correct answer is: - O 6
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Angles
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education