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,...
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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
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