How many lines of symmetry does an equilateral triangle have?

How many lines of symmetry does an equilateral triangle have?

three lines of symmetry
An equilateral triangle has three lines of symmetry. It has rotational symmetry of order 3. It has three equal sides.

How many lines of symmetry does a triangle have?

3
Triangle/Line of symmetry

What is the symmetry group of equilateral triangle?

dihedral group D3
The dihedral group D3 is the symmetry group of an equilateral triangle, that is, it is the set of all transformations such as reflection, rotation, and combinations of these, that leave the shape and position of this triangle fixed.

What is the maximum number of lines of symmetry for an equilateral triangle?

Three lines can maximum numbers of symmetry in equilateral triangle and each angle is 60 degree.

Which is not another name of line of symmetry of an equilateral triangle?

The other name of line of symmetry in an equilaterial triangle is PERPENDICULAR BISECTOR.

What is another name of line of symmetry?

The line of symmetry is also called the mirror line or axis of symmetry. A circle has infinite lines of symmetry.

Is a rhombus symmetrical?

Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides. Using congruent triangles, one can prove that the rhombus is symmetric across each of these diagonals. Its diagonals bisect opposite angles.

Which figure has only one line of symmetry?

Trapezium. A trapezium has rotational symmetry of order one. Some trapeziums have one line of symmetry. They are called isosceles trapeziums as they have 2 sides of an equal length like isosceles triangles.

How many symmetry lines does a smiley face have?

symmetry type 5 D because it has five reflection symmetries and five rotation symmetries. Identify the rotation and the reflection symmetries of the smiley face. There is one line of reflection that will produce a reflection symmetry as shown below, and the only rotation symmetry is 360°, also shown below.

What shape has 2 line of symmetry?

rectangle
A rectangle has two lines of symmetry. It has rotational symmetry of order two.

All three angles and sides of an equilateral triangle are equal. Thus, an equilateral triangle has three lines of symmetry, each passing through the midpoint of a side and the opposite vertex. In an Isosceles triangle, two sides and their included angles are equal in measure.

What are the rules of an isosceles triangle?

Rules for Isosceles and Equilateral Triangles. The given triangle is an equilateral, it is said to be equiangular. The two sides of the triangle are said to be congruent, and then the two sides of the triangles are the base angles of an isosceles triangles. The triangle is said to be an equiangular, it is represented as equilateral.

Does triangle have lines of symmetry?

Symmetry is not a general property of triangles. Scalene triangles do not have lines of symmetry. Isosceles triangle have just one line of symmetry: the bisector of the angle between the couple of equal sides.

How do you measure a triangle?

Each small triangle is exactly half its small rectangle. In other words: the size of our triangle is exactly half the size of the rectangle. So, if you want to measure a triangle, you just multiply its base \\(b\\) times its height \\(h\\), and then divide by two.