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Hexagon with Exactly 2 Lines of Symmetry
A hexagon is a six-sided polygon with six angles. It is possible for a hexagon to have different numbers of lines of symmetry, depending on its shape and size. A line of symmetry is a line that divides the polygon into two congruent parts. Each part mirrors the other part through the line of symmetry.
Types of Symmetry in Hexagons
There are three types of symmetry in hexagons:
- Rotational Symmetry: A hexagon has rotational symmetry if it looks the same after being rotated by a certain angle around its center. A hexagon can have rotational symmetry of 60°, 120°, or 180°.
- Reflective Symmetry: A hexagon has reflective symmetry if there is a line that divides it into two congruent parts.
- Translational Symmetry: A hexagon has translational symmetry if it can be translated, or moved, by a certain distance and direction so that it fits exactly on top of itself.
Number of Lines of Symmetry in Hexagons
The number of lines of symmetry in a hexagon depends on its shape and size. The possible numbers of lines of symmetry are:
- 0: A hexagon with no lines of symmetry is called asymmetrical. Its sides and angles are all different.
- 1: A regular hexagon has one line of symmetry. Each side is congruent, and each angle is equal.
- 2: A hexagon with exactly two lines of symmetry can have different shapes and sizes. One line of symmetry must go through opposite vertices, and the other line of symmetry must go through the midpoints of opposite sides.
- 3: A hexagon with three lines of symmetry has rotational symmetry of 120°. Its angles are all equal, but its sides are not necessarily congruent.
- 6: A regular hexagon also has rotational symmetry of 60° and 180°. It has six lines of symmetry, including three lines of reflective symmetry and three lines of rotational symmetry.
Conclusion
In conclusion, a hexagon with exactly two lines of symmetry can have different shapes and sizes. It is a type of reflective symmetry, where one line of symmetry goes through opposite vertices, and the other line of symmetry goes through the midpoints of opposite sides. The number of lines of symmetry in a hexagon depends on its shape and size, and the possible numbers are 0, 1, 2, 3, or 6.
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hexagon with exactly 2 lines of symmetry Related: Types and Number of Lines of Symmetry?
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hexagon with exactly 2 lines of symmetry Related: Types and Number of Lines of Symmetry? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about hexagon with exactly 2 lines of symmetry Related: Types and Number of Lines of Symmetry? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for hexagon with exactly 2 lines of symmetry Related: Types and Number of Lines of Symmetry?.
hexagon with exactly 2 lines of symmetry Related: Types and Number of Lines of Symmetry? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about hexagon with exactly 2 lines of symmetry Related: Types and Number of Lines of Symmetry? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for hexagon with exactly 2 lines of symmetry Related: Types and Number of Lines of Symmetry?.
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