Why do some shapes have no lines of symmetry?

Why do some shapes have no lines of symmetry?

Some shapes, such as a scalene triangle, have no lines of symmetry – it is not possible to fold the shape about a line so that the two halves fit exactly on top of one another.

Do all shapes have symmetry?

Each regular polygon (equilateral triangle, square, rhombus, regular pentagon, regular hexagon etc.) are symmetry. Some figures like scalene triangle and parallelogram have no lines of symmetry.

Which shape 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.

Which shapes have many lines symmetry?

There are figures and shapes that can have more than one lines of symmetry. A circle has infinite lines of symmetry. Likewise, a triangle has three lines of symmetry, while rectangle and square have four such lines which divide them into identical parts.

What shape has only one line of symmetry?

isosceles triangles
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.

Which one of the following has no line of symmetry?

P, Q anhd R have no lines of symmetry.

What shape has no axis of symmetry?

Parallelogram
Parallelogram. A parallelogram is a quadrilateral with no axis of line symmetry. The opposite sides of a parallelogram are equal and parallel.

Which of the following is not line symmetric?

The letters of english alphabet have no line of symmetry are F, G, J, L, N, P, Q, R, S and Z.

Which of the following shape has no line of symmetry?

Summary: A scalene triangle, parallelogram, and a trapezium are three examples of shapes with no line of symmetry.

What has only one line of symmetry?

Hence, we can say that the heart-shape has one and only one line of Symmetry. The equilateral triangle has three lines of symmetry whereas a scalene triangle does not have any line of symmetry as its all sides are different. An isosceles triangle has one line of symmetry as both of its sides are equal.

What is not a line symmetry?

Basically, a line of symmetry is a line that divides a figure into two mirror images. But the diagonal line is NOT a line of symmetry. Folding along the diagonal does not coincide with the other side. The diagonal of a parallelogram also divides the figure into two triangles that are congruent.