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An equilateral triangle has rotational symmetry (order 3).

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Q: Does an equilateral triangle have any rotational symmetry?
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Does an isosceles triangle have any rotational symmetry?

An isoceles triangle does not have rotational symmetry.


Can a shape have rotational symmetry and line symmetry?

Yes. Any equilateral shape can have both rotational and line symmetry.


Do any kinds of triangle have rotational symmetry but no lines of symmetry?

No.


What shape with 3 sides has no lines of symmetry?

Any triangle that is not isosceles or equilateral. An equilateral triangle has 3 lines of symmetry, while an isosceles triangle has only one, and any other triangle (non-isosceles right triangle, or scalene triangle) has zero.


What is an equilateral triangle is symmetrical about?

YES!!! An equilateral triangle has three lines of symmetry. They are drawn from any one corner to the opposite base. They should all intersect at the centre of the triangle. By comparison, an Isosceles triangle has only one line of symmetry. From the one unequal angle to the opposite side. Right angled, and scalene triangles do not have lines of symmetry.

Related questions

What rotational symmetry does a right-angled triangle have?

I think none. In fact the only triangle that I believe has any rotational symmetry is an equilateral triangle.


Does an isosceles triangle have any rotational symmetry?

An isoceles triangle does not have rotational symmetry.


Can a shape have rotational symmetry and line symmetry?

Yes. Any equilateral shape can have both rotational and line symmetry.


Do any kinds of triangle have rotational symmetry but no lines of symmetry?

No.


What is the order of rotational symmetry of a 3D triangle?

It need not have any symmetry.


Triangle with one axis of symmetry?

Any isosceles triangle which is not also an equilateral triangle. An equilateral triangle would have three.


Has a triangle got 2 lines of symmetry and 2 lines of rotational symmetry?

First of all, your grammar is terrible. The question should be "Does a triangle have 2 lines of symmetry and 2 lines of rotational symmetry? and the answer is no. A triangle can not have 2 lines of rotational symmetry, because you only rotate the image, you do not use any lines.


Does an equilateral triangle have line symmetry?

In order to have any lines of symmetry, a triangle must have either two sides equal (isosceles) or three sides equal (equilateral).


Which shape has line of symmetry but not rotational symmetry?

There are infinitely many such shapes:Take any odd-sided regular polygonMove one vertex away from the side opposite it in a perpendicular direction any distance you like.The resulting shape has one line of symmetry (from the vertex moved to the centre of the opposite side) and no rotational symmetry.Done to an equilateral triangle (a regular "3-agon") this creates an isosceles triangle.


What is the rotation angle for triangle?

A triangle can be rotated through any angle of your choice!An equilateral triangle has rotational symmetry of order 3, which means that a rotation of 120 degrees (or multiples) will bring it back to the same orientation. All other triangles have rotational symmetry of order 1: that is, you have to rotate them a full circle (360 deg) before they look the same.


What shape with 3 sides has no lines of symmetry?

Any triangle that is not isosceles or equilateral. An equilateral triangle has 3 lines of symmetry, while an isosceles triangle has only one, and any other triangle (non-isosceles right triangle, or scalene triangle) has zero.


What is an equilateral triangle is symmetrical about?

YES!!! An equilateral triangle has three lines of symmetry. They are drawn from any one corner to the opposite base. They should all intersect at the centre of the triangle. By comparison, an Isosceles triangle has only one line of symmetry. From the one unequal angle to the opposite side. Right angled, and scalene triangles do not have lines of symmetry.