A shape can have more than one line of symmetry. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four.
Can an object have more than one line of symmetry?
A line of symmetry can be a vertical line, a horizontal line, or a diagonal line. ... An object can have more than one line of symmetry. For example you can fold a rectangle in half horizontally, vertically, or diagonally, and each half matches the other. A rectangle has four lines of symmetry.
Can you have 3 lines of symmetry?
An equilateral triangle has three lines of symmetry. It has rotational symmetry of order 3. It has three equal sides.
What shapes have no lines of symmetry?
A scalene triangle, parallelogram, and a trapezium are three examples of shapes with no line of symmetry.
Which shape has 2 lines of symmetry?
Rectangle . A rectangle has two lines of symmetry. It has rotational symmetry of order two.
What is more than one line of symmetry?
A shape can have more than one line of symmetry. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four. A circle has an infinite number of lines of symmetry since it can be folded about any diameter.
Which shape has the greatest number of lines of symmetry?
The most symmetric shape
A circle has infinitely many lines of symmetry: any diameter lies on a line of symmetry through the center of the circle.
What is the shape of symmetrical?
Symmetry. A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other. The line is called a line of symmetry. This is sometimes called a ‘mirror line' or ‘mirror symmetry', because if you put a mirror on the line, the reflection would show the whole shape. •
What are the 4 types of symmetry?
The four main types of this symmetry are translation, rotation, reflection, and glide reflection .
What is symmetry line?
A line of symmetry is a line that cuts a shape exactly in half . This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged.
Do all quadrilaterals have 2 lines of symmetry?
So the square has four lines of symmetry. ... One way to show this is to note that for a quadrilateral, a line of symmetry must either match two vertices on one side of the line with two vertices on the other or it must pass through two of the vertices and then the other two vertices pair up when folded over the line.
Can you draw a triangle with 2 lines of symmetry?
(AB = AC = BC in triangle ABC). As we can see, this triangle has exactly three lines of symmetry. So this is not our required triangle. Hence, there exists no triangle with exactly two lines of symmetry .
Can a hexagon have 2 lines of symmetry?
The irregular hexagon from above has two lines of symmetry. Any regular polygon has the same number of lines of symmetry as its number of its sides.
How do you find the line of symmetry of two lines?
You can find the line of symmetry graphically or algebraically. To find the line of symmetry graphically, find the vertex, or the farthest point where two lines connect, and write either x = or y = and then insert the x- or y-coordinate.
Do circles have lines of symmetry?
Since there are an infinite number of lines through the center, the circle has an infinite number of lines of symmetry. ... This means that the parts of the circle on each side of the line must have the same area. So a line of symmetry divides the circle into two parts with equal area.
