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Rotational symmetry is when you turn or rotate a shape and it still looks the same. A circle is the most common answer. However, it you rotate a square about 90 degrees, it still looks the same, so it is considered rotational symmetry. Technically, any shape can have rotational symmetry because it you rotate it 360 degrees, it still looks the same.
Definition of rotational symmetry:
Generally speaking, an object with rotational symmetry is an object that looks the same after a certain amount of rotation. An object may have more than one rotational symmetry; for instance, if reflections or turning it over are not counted. The degree of rotational symmetry is how many degrees the shape has to be turned to look the same on a different side or vertex. It can not be the same side or vertex.
<------- This figure can be rotated 90 degrees and it will still look the same!!
Example:
Before After 90 degree turn
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What figure has rotational symmetry?
A sphere has rotational symmetry of an infinite degree.
If a figure has rotational symmetry does it have line symmetry?
yes
Can a figure have line symmetry and not rotational symmetry?
Yes. An ellipse (oval) has two lines of symmetry, but not a rotational symmetry. A parabola has one line and no rotation.
What is the order of rotational symmetry of a triangle?
The order of rotational symmetry of a equilateral triangle is three. However, the order of an isosceles triangle is one. So, the rotational symmetry depends on the specific type of triangle figure. However, all figures have at least one order. Rotational symmetry is associated with how a shape can be rotated and retains the same or similar appearance.
What type of symmetry does a regular hexagon have?
Both Rotational and Line Symmetry
What type of symmetry does this figure have?
Line
How do you tell if something has rotational symmetry?
A figure has rotational symmetry if you can turn it about a figure.
What figure has rotational symmetry?
A sphere has rotational symmetry of an infinite degree.
If a figure has rotational symmetry does it have line symmetry?
yes
Is it true that a figure with no lines of symmetry have rotational symmetry?
yes
How many orders of symmetry does a rectangle have?
The rectangle's rotational symmetry is of order 2. A square's rotational symmetry is of order 4; the triangle has a symmetry of order 3. Rotational symmetry is the number of times a figure can be rotated and still look the same as the original figure.
What type of triangle has rotational symmetry?
Equilateral triangles have rotational symmetry.
What figure has rotational symmetry but not line symmetry?
A nonrectangular parallelogram has rotational symmetry, but not line symmetry. Additionally, shapes such as the letters S, N, and Z can be rotated to show rotational symmetry, although they do not have line symmetry.
Can a figure have line symmetry and not rotational symmetry?
Yes. An ellipse (oval) has two lines of symmetry, but not a rotational symmetry. A parabola has one line and no rotation.
What figure has a rotational symmetry?
a circle or a sphere
What figure that does not have line or rotational symmetry?
z
What figure does not have rotational symmetry?
a right triangle
