The regular Pentagon has five symmetry lines.Ī Regular Heptagon contains seven symmetry lines. The equation for the line of symmetry is x = -b/2a.īelow are some instances of the line of symmetry for various figures.Ī triangle is said to contain three, one, or even no symmetry lines.Ī quadrilateral has four, two, or no symmetry lines.Īn Equilateral Triangle is considered to contain three symmetry lines. The line symmetry equation for a parabola with the quadratic equation y = ax2 + bx + c is of the form x = n, where n is a real number. It is symmetrical in all directions.Ī parabola has line symmetry in coordinate geometry, and its line of symmetry goes via its vertex. Similarly, an N-sided regular polygon has N lines of symmetry.Ī circle can have an infinite number of symmetry lines or none at all. Other patterns, such as a star, also include five lines of symmetry.Ī regular hexagon has six lines of symmetry, three connecting the opposite vertices and three connecting the opposite side’s mid-points. The lines that connect a vertex to the opposing side’s midpoint divide the figure into ten symmetrical halves. Several more patterns feature four lines of symmetry as well.Ī regular pentagon is composed of approximately five lines of symmetry. Several additional patterns contain three lines of symmetry as well.Ī square is symmetrical along four lines of symmetry, two diagonals, and two parallel to the opposing sides’ midpoints. Along its three medians, it is symmetrical. The rhombus’s two diagonals define its symmetry lines.ĭue to the fact that an endless number of lines can be drawn inside a circle that passes through its centre, a circle has an infinite number of symmetry lines.Ī triangle that is equilateral has approximately three lines of symmetry. If a triangle is isosceles, it has at least one line of symmetry if it is equilateral, it has three.Ī rhombus has two symmetry lines. Thus, a rectangle has only one vertical and one horizontal symmetry line.Ī triangle’s line symmetry is determined by its sides. When a rectangle is folded diagonally, the resulting shape is asymmetrical. Thus, a square has one vertical, one horizontal, and two diagonal symmetry lines.Ī rectangle has two symmetry lines, that is, lines that pass through the midpoints of opposing sides. The following are some common examples of the line of symmetry in two-dimensional shapes:Ī square has four lines of symmetry, which are lines through opposite vertices, and the four lines of symmetry are formed by lines through the midpoints of opposite sides. In geometry, we have plane shapes with line symmetry such as the square, rectangle, triangle, rhombus, and parallelogram. When split across the diagonal corners, a diagonal line of symmetry divides a form into identical halves. Taking this into consideration, the symmetry line is diagonal. Diagonal Line of Symmetry: The above shape can be divided into two identical halves along its diagonal line of symmetry.Thus, when a shape is divided horizontally, from right to left or vice versa, the horizontal line of symmetry divides it into identical halves. Consequently, the symmetry line is horizontal in this circumstance. Horizontal Line of Symmetry: When the above shape is sliced horizontally, it can be divided into two equal halves.In this situation, the symmetry line is vertical. Vertical Line of Symmetry: A standing straight line can be used to divide the above shape into two identical halves.Using a given figure, observe the various patterns of symmetry that an object can have. The axis of symmetry is the name given to this line of symmetry. When a figure is folded in half along its symmetry axis, both parts perfectly match. We have a square here, which we may fold into two equal half. Additionally, we will solve many instances to help you grasp the topic.Ī line of symmetry, alternatively referred to as a mirror line, is a line that divides an object into two identical parts. Additionally, we will examine the line symmetry of various geometric shapes and the number of lines of symmetry that each shape has. We shall explain the notion of the line of symmetry and its meaning in this article. For instance, butterfly wings are identical on both sides, and the human face also exhibits line symmetry. Additionally, it is referred to as mirror symmetry or reflection symmetry. In simple terms, when an object is divided into two equal pieces by a line, the two sides of the line appear identical. Line symmetry is a form of symmetry in which one half of an object reflects the other half across a line.
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