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An equilateral triangle has exactly three lines of symmetry. It is the only shape that contains exactly three lines of symmetry.

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Q: What figure has exactly three lines of symmetry?
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How many lines of symmetry are in a triangle?

The number of lines of symmetry of a triangle depends upon the kind of triangle it is:A scalene triangle with no side lengths equal has no lines of symmetry;An isosceles triangle with two sides equal has 1 line of symmetry that bisects the angle between the two equal sides;An equilateral triangle with all three sides equal has three lines of symmetry - the three lines are the bisectors of the three angles.A right triangle is a triangle where one angle is 90°. A right triangle is either a scalene triangle with no lines of symmetry or an isosceles triangle (where the legs are of equal length) with one line of symmetry which bisects the 90° angle.No triangle can have exactly 2 lines of symmetry.


How many line of symmetry does a hexagon have?

A hexagon need not have any lines of symmetry. Or, it can have just one line of symmetry. A regular hexagon has six lines of symmetry, including three along the lines bisecting the angles and three along the lines formed by bisecting the sides. A regular hexagon has a rotational order of 6.


How many lines of symmetry does a equilateral have?

Assuming that you are talking about an equilateral triangle, it has three lines of symmetry. They bisect each angle.


How many lines of symmetry are in a regular triangle?

If you're referring to an equilateral triangle, a triangle in which all three sides are the same length, then there are three lines of symmetry.


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.

Related questions

What figure has six lines of symmetry?

A hexagon, for example, has six lines of symmetry. Three of them go to opposite vertices, and three go to opposite sides.


Does every equilateral triangle has exactly three lines of symmetry?

Yes because it has three equal sides


Does a triangle have more than 1 line of symmetry?

Depending on the triangle, there can be 0, 1, or three lines of symmetry. A scalene triangle (all sides of different lengths) will have no lines of symmetry, an isosceles triangle (exactly two sides of the same length) will have one line of symmetry, and an equilateral triangle (all three sides of the same length) will have three lines of symmetry.


How many line of symmetry does a cube have?

There are three kinds of symmetries for a cube: planes of symmetry, lines of symmetry and a center of symmetry.A cube has:9 planes of symmetry13 lines of symmetry1 center of symmetry (at the center of the cube)


What are the three lines of symmetry?

An equilateral triangle has 3 lines of symmetry


How many lines of symmetry are in a triangle?

The number of lines of symmetry of a triangle depends upon the kind of triangle it is:A scalene triangle with no side lengths equal has no lines of symmetry;An isosceles triangle with two sides equal has 1 line of symmetry that bisects the angle between the two equal sides;An equilateral triangle with all three sides equal has three lines of symmetry - the three lines are the bisectors of the three angles.A right triangle is a triangle where one angle is 90°. A right triangle is either a scalene triangle with no lines of symmetry or an isosceles triangle (where the legs are of equal length) with one line of symmetry which bisects the 90° angle.No triangle can have exactly 2 lines of symmetry.


Which shape has three lines of symmetry?

An equilateral triangle has 3 lines of symmetry


How many lines of symmetry of a equalateral triangle?

An equilateral triangle has three lines of symmetry.


How many lines of symmetry has an equilaterial triangle?

There are three lines, three angles, and three sides or a triangle. Each angle of the equilateral triangle is exactly 60 degrees, because each angle is equal.


What figure has three lines of symmetry?

Oh, dude, that's an easy one. A triangle has three lines of symmetry. Yeah, like, you can fold that bad boy in half three different ways and it's still looking symmetrical. Triangles, man, they're like the cool kids of geometry.


Is it possible for a pentagon to have three lines of symmetry?

No, it can only have 0, 1 or 5 lines of symmetry.


Do all triangles have three lines of symmetry?

no, only equilateral triangles have 3 lines of symmetry