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How many axes of symmetry has a equilateral triangle?
For an equilateral triangle, there are three axes of symmetry. A plane figure is symmetrical about the line l if, whenever P is a point of the figure, so too is P', where P' is the mirror-image of P in the line l. The line is called a line of symmetry (or axis of symmetry), and the figure is said to be a symmetrical by the reflection in the line l. An equilateral triangle with reflection symmetry has two halves that are mirror images of each other. If the shape is folded over its line of symmetry, the two halves of the shape match exactly. So, we can say that the two halves of an equilateral triangle are matched exactly only when its shape is folded over the lines of symmetry that passes through their vertixes and the midpoint of its sides. Thus, an equilateral triangle has three lines of symmetry, and three angles of rotation. If you rotate any shape a full turn, it will look like it did before you rotated it. When you rotate a shape less than a full turn about its center point and it looks exactly as it did before you rotated it, it has rotation symmetry. In an equilateral triangle there are three places in the rotation where the triangle will look exactly the same as its starting position. If we turn the triangle one third of a full turn (60 degrees), the vertex 1 will be at position 3, vertex 2 will be at position 1, and vertex 3 will be at position 2, and the triangle will look like its starting position.
What is the point group for isosceles and equilateral triangle?
D2d AND D3h
What is the point of intersection for the three symmetry lines in an equilateral triangle?
This point "p" identifies a geometric location known, in association with each of the three "normals" which communicate with each other from their three respective vertices perpendicular to their three respective sides, as the "procedure". The normal geometric procedure of an equilateral triangle exists in a state of perfect equilibrium and divides each of the three normals in a ratio of 2:1. It is also the centre of the circle which communicates with all three vertices of the triangle, and it therefore follows that two-thirds of each normal of an equilateral triangle is a radius of the circle which contains it.
What is the angle of rotation for a point on a circle for drawing an equilateral triangle?
120
How many lines of symmetry does a right angled triangle have?
1 its from the "right angle point" on a diagonal to the center of the longest line.None normally but if it's an isosceles right angle triangle it will have 1 line of symmetry.
How do you find point symmetry for an equilateral triangle?
An equilateral triangle has 3 lines of symmetry which perpendicularly bisects each of its vertices
What triangle has to lines of symmetry?
If you mean which triangle has at least two lines of symmetry, I can answer your question: an equilateral triangle has three lines of symmetry-- one passing through the center of each side and through the opposite point, perpendicular to the side.
Does every isosceles triangle have at least one line of symmetry?
Yes, every isosceles triangle has at least one line of symmetry, usually drawn down the middle from the top point, down in the middle of the triangle's base.
What are the lines of symmetry on a regular polygon triangle?
A regular polygon triangle is an equilateral triangle. It has three lines of symmetry: a line passing through each vertex and the mid-point of the opposite side. These are the three medians or altitudes or perpendicular bisectors or angle bisectors of the triangle - they are all the same lines.
How many axes of symmetry has a equilateral triangle?
For an equilateral triangle, there are three axes of symmetry. A plane figure is symmetrical about the line l if, whenever P is a point of the figure, so too is P', where P' is the mirror-image of P in the line l. The line is called a line of symmetry (or axis of symmetry), and the figure is said to be a symmetrical by the reflection in the line l. An equilateral triangle with reflection symmetry has two halves that are mirror images of each other. If the shape is folded over its line of symmetry, the two halves of the shape match exactly. So, we can say that the two halves of an equilateral triangle are matched exactly only when its shape is folded over the lines of symmetry that passes through their vertixes and the midpoint of its sides. Thus, an equilateral triangle has three lines of symmetry, and three angles of rotation. If you rotate any shape a full turn, it will look like it did before you rotated it. When you rotate a shape less than a full turn about its center point and it looks exactly as it did before you rotated it, it has rotation symmetry. In an equilateral triangle there are three places in the rotation where the triangle will look exactly the same as its starting position. If we turn the triangle one third of a full turn (60 degrees), the vertex 1 will be at position 3, vertex 2 will be at position 1, and vertex 3 will be at position 2, and the triangle will look like its starting position.
Does a triangle have point symmetry?
No, a triangle does not have point symmetry. Point symmetry occurs when an object or shape remains the same after being rotated 180 degrees around a central point. In the case of a triangle, it does not have point symmetry because it does not look the same after a 180-degree rotation.
What is the point group for isosceles and equilateral triangle?
D2d AND D3h
What are the properties of an equilateral triangle?
Equilateral triangles have, by definition, 3 equal sides. This means they also have 3 equal angles (i.e. they are equiangular) with each angle measuring 60 degrees. They have 3 lines of symmetry from each vertex to the midpoint of the opposite side. These lines are the medians, perpendicular bisectors, altitudes, and angle bisectors of the triangle. The point where these three lines intersect is the centroid, incenter, circumcenter, and orthocenter of the triangle. The area of an equilateral triangle is sqrt(3)/4*s where s is the side length of the triangle.
What is the point of intersection for the three symmetry lines in an equilateral triangle?
This point "p" identifies a geometric location known, in association with each of the three "normals" which communicate with each other from their three respective vertices perpendicular to their three respective sides, as the "procedure". The normal geometric procedure of an equilateral triangle exists in a state of perfect equilibrium and divides each of the three normals in a ratio of 2:1. It is also the centre of the circle which communicates with all three vertices of the triangle, and it therefore follows that two-thirds of each normal of an equilateral triangle is a radius of the circle which contains it.
What is the shape of a delta?
An equilateral triangle, with the point facing up. Δ
What is the angle of rotation for a point on a circle for drawing an equilateral triangle?
120
What concurrent point in a triangle does not exist on Euler's line?
The incentre - except in an equilateral triangle where it coincides with the centroid (for example).
