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Do all triangles have lines symmetry?
Maybe yes or no
Why are not all triangles symmetrical?
Not all triangles are symmetrical because symmetry requires that a shape can be divided into two identical halves. In the case of triangles, only isosceles and equilateral triangles exhibit symmetry, as they have at least two equal sides or three equal sides, respectively. Scalene triangles, on the other hand, have all sides of different lengths and angles of different measures, resulting in no lines of symmetry. Thus, the variation in side lengths and angles determines the symmetry of a triangle.
How many lines of symmetry can be drawn on a scalene triangle?
A scalene triangle has no lines of symmetry. This is because all its sides and angles are of different lengths and measures, meaning there is no way to divide it into two identical halves. In contrast, other types of triangles, such as isosceles or equilateral triangles, do have lines of symmetry due to their equal sides and angles.
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.
Can an isosceles triangle have three lines of symmetry?
No, an isosceles triangle cannot have three lines of symmetry. It has exactly one line of symmetry, which runs vertically from the vertex opposite the base to the midpoint of the base. In contrast, an equilateral triangle has three lines of symmetry, as all its sides and angles are equal.
Do triangles have lines of symmetry?
no they do not they have to be equal so that proves there is NO lines of symmetry * * * * * It depends on the triangle. Equilateral triangles have 3 lines of symmetry, Isosceles triangles have 1 and all other triangles have none.
What type of triangle has no lines of symmetry?
A scalene triangle. Though it's usually defined as having three sides of different lengths, this is an equivalent definition: all equilateral triangles have three lines of symmetry, and all isosceles triangles have one (no triangle has two lines of symmetry).
Does a triangle have a line of symmetry?
It depends on the type of triangle: -- scalene triangles have three sides of different length, and no lines of symmetry -- isoceles triangles have one line of symmetry that includes the apex -- equilateral triangles have three lines of symmetry, all bisectors through a vertex
How many right triangles can be formed by all three lines of symmetry in an equilateral triangle?
The Answer is 6!
How many right triangles can be formed by drawing all three lines of symmetry in an equilateral triangle?
Six
Do all triangles have lines symmetry?
Maybe yes or no
Do all triangles always have same number of lines of symmetry?
no
Why are not all triangles symmetrical?
Not all triangles are symmetrical because symmetry requires that a shape can be divided into two identical halves. In the case of triangles, only isosceles and equilateral triangles exhibit symmetry, as they have at least two equal sides or three equal sides, respectively. Scalene triangles, on the other hand, have all sides of different lengths and angles of different measures, resulting in no lines of symmetry. Thus, the variation in side lengths and angles determines the symmetry of a triangle.
What shape has less than 4 lines of symmerty?
All triangles have less than 4 lines of symmetry.
How many lines of symmetry in right angled triangle?
For a right isosceles triangle (45-45-90), there is one line of symmetry that bisects the hypotenuse. For all other right triangles, there are zero lines of symmetry.
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.
How does a triangle have 3 lines of symmetry?
All three lines of a triangle are equal.
