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Does a circle have four lines of symmetry?

A circle has infinite lines of symmetry, all passing through the center. A square has four lines of symmetry: top to bottom, left to right, and the two diagonals.


Are lines of symmetry also diagonals in polygons?

Lines of symmetry in polygons are not necessarily diagonals. A line of symmetry divides a shape into two identical halves, while a diagonal connects non-adjacent vertices of a polygon. In some cases, a diagonal can serve as a line of symmetry, but this is not true for all polygons. Therefore, while there can be overlap, the two concepts are distinct and not synonymous.


How many shapes have a diagonal which is a line of symmetry?

In geometry, certain shapes have diagonals that act as lines of symmetry. Specifically, regular polygons with an even number of sides, such as squares and hexagons, have diagonals that can serve as lines of symmetry. Additionally, rectangles and some other symmetrical quadrilaterals also exhibit this property. However, not all shapes have this characteristic; it is primarily found in shapes with specific symmetrical properties.


Do all shapes have lines of symmetry?

not all shapes have lines of symmetry. one example is a triangle.


Do all shapes with 4 right angles have 2 lines of symmetry?

Not all shapes with four right angles have exactly two lines of symmetry. For example, a rectangle has two lines of symmetry (one vertical and one horizontal), while a square, which also has four right angles, has four lines of symmetry. In contrast, a non-square rectangle may only have the two symmetry lines, but other configurations could exist that alter this symmetry. Thus, the number of symmetry lines depends on the specific shape.

Related Questions

Does a circle have four lines of symmetry?

A circle has infinite lines of symmetry, all passing through the center. A square has four lines of symmetry: top to bottom, left to right, and the two diagonals.


Are lines of symmetry also diagonals in polygons?

Lines of symmetry in polygons are not necessarily diagonals. A line of symmetry divides a shape into two identical halves, while a diagonal connects non-adjacent vertices of a polygon. In some cases, a diagonal can serve as a line of symmetry, but this is not true for all polygons. Therefore, while there can be overlap, the two concepts are distinct and not synonymous.


How many shapes have a diagonal which is a line of symmetry?

In geometry, certain shapes have diagonals that act as lines of symmetry. Specifically, regular polygons with an even number of sides, such as squares and hexagons, have diagonals that can serve as lines of symmetry. Additionally, rectangles and some other symmetrical quadrilaterals also exhibit this property. However, not all shapes have this characteristic; it is primarily found in shapes with specific symmetrical properties.


Why does a square have more lines of symmetry than a rectangle?

The diagonals of a rectangle aren't lines of symmetry unless it's square.


Quadrilateral with 4 right angles and 4 lines of symmerty?

A quadrilateral with 4 right angles can only be a rectangle or a square. A rectangle has only two lines of symmetry - the lines joining the midpoints of its opposite sides. So the answer cannot be a rectangle. A square has the same lines of symmetry as a rectangle, plus the two diagonals - 4 lines in all.


Do all shapes have lines of symmetry?

not all shapes have lines of symmetry. one example is a triangle.


When does a rhombus have a line of symmetry?

rhombus has all sides equal and diagonals also bisect each other hence it has line of symmerty


Are the diagonals of a square axes of symmetry?

yes they are i of cause know all about math


Do all shapes with 4 right angles have 2 lines of symmetry?

Not all shapes with four right angles have exactly two lines of symmetry. For example, a rectangle has two lines of symmetry (one vertical and one horizontal), while a square, which also has four right angles, has four lines of symmetry. In contrast, a non-square rectangle may only have the two symmetry lines, but other configurations could exist that alter this symmetry. Thus, the number of symmetry lines depends on the specific shape.


Do all octogons have the same number of lines of symmetry?

All regular octagons have the same number of lines of symmetry, but octagons with unequal sides would have fewer lines of symmetry.


What shapes have 4 line's of symmetry?

The square is the only one I can think of. The lines are vertical, horizontal, and both diagonals.


Are all quadrilaterals symmetrical?

Not all 4 sided quadrilaterals have lines of symmetry although some of them do have lines of symmetry.