Is there any relation between line symmetry and point symmetry?

A set of points has line symmetry if and only if there is a line, l, such that the reflection through l of each point in the set is also a point in the set. (May also be referred to as reflectional symmetry.) Certain figures can be mapped onto themselves by a reflection in their lines of symmetry.

Yes, there is implication between lines of symmetry and point symmetry.

Yes, there is implication between lines of symmetry and point symmetry.

A square is symmetrical along four lines of symmetry, two along the diagonals and two along with the midpoints of the opposite sides. Some other patterns also have four lines of symmetry.

A line of symmetry divides the shape equally into two symmetrical pieces. A rotational symmetry is the number of times a shape fits into itself when rotated around its centre.

Linear Symmetry: Four lines of symmetry i.e., its two diagonals and the two lines each joining the midpoint of the opposite sides of the square. Point Symmetry: Possesses a point symmetry with the point of intersection ‘O’ of its diagonals as the centre of symmetry.

In geometry, symmetry is defined as A balanced and proportionate similarity that is found in two halves of an object. It means one-half is the mirror image of the other half. The imaginary line or axis along which you can fold a figure to obtain the symmetrical halves is called the line of symmetry.

Point symmetry is said to occur When 2 in the cartesian system lie at the same distance from the coordinate axis but in an opposite direction, they are said to possess a point symmetry. For eg- (1,1) and (-1,-1) have a point symmetry.

Rhombus:

(ii) Point symmetry Possesses point symmetry with point of intersection of diagonals as the center of symmetry.

Why Diamond 7 Does not have point symmetry? On rotation by 180°, the two are not the same. The centre diamond is at top before rotation and at the bottom after rotation.

Another familiar example of an object with point symmetry is A square. Some cards in a regular deck also have point symmetry. You could try to observe items in your home that have point symmetry – maybe your ceiling fan or even your fancy dishes . Many flowers in nature also have point symmetry.

Hence the given Star have 4 line of symmetry. Was this answer helpful?

For example, a five pointed star has 5 lines of symmetry and rotational symmetry of order 5, but Does not have point symmetry. A parallelogram has no line of symmetry, but has rotational symmetry of order 2 and also point symmetry. Only a shape which has line symmetry or point symmetry can have rotational symmetry.

A line segment has two axes of symmetry: the line containing it, and the line perpendicular to it through its midpoint.

Answer: A line which divides a figure or shape or any image in identical halves has line symmetry. Thus, the line which divides a figure into identical halves is referred to as the line of symmetry or the axis of symmetry.

The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, thereby creating one part as the mirror image of the other part. When folded along the axis of the symmetry, the two parts get superimposed. The straight line is called the line of symmetry/the mirror line.

A point in geometry is a location. It has no size i.e. no width, no length and no depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions.

The letters H, Z and N Have point symmetry.