Line of Symmetry Equations
There are several ways to find the line of symmetry. In the coordinate system, the graph may have symmetry about the x-axis, y-axis, origin, or about any given line.
For Example, a parabola has line symmetry in coordinate geometry and 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 and a and b are the coefficients of x2 and x respectively and c is the constant. x = -b/(2a) gives us our line of symmetry.
This means that the axis of symmetry is the vertical line passing through x = -b/(2a). This line will split the parabola into two equal halves.
For example, if we are given the equation for a parabola in standard form such as y = x2 + 6x + 3, we know that a=1, b=6, and c=3. Here, we can put the value of a and b into the formula x=−b/2a in order to get the axis of symmetry. The formula becomes x =−(6)/2(1) which results to x = −3. This means that the axis of symmetry is the vertical line passing through x=−3.
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Line of Symmetry
Line of Symmetry: A line of symmetry, also known as an axis of symmetry or mirror line, is a line that splits a shape or object into two identical and symmetrical halves. Each half mirrors the other, making them look like reflections of one another across the line which indicates that both parts of the shape would perfectly match. The shape would not change if a mirror were put along this line.
In this article, we will talk about the concept of line of symmetry, along with its definition, and properties. We will also explore lines of symmetry in alphabets, and lines of symmetry in shapes like Triangle, Rhombus, Parallelogram, Pentagon, etc.
Table of Content
- What is Line of Symmetry?
- Line of Symmetry Meaning
- Properties of Line of Symmetry
- Line of Symmetry Types
- Horizontal Line of Symmetry
- Vertical line of Symmetry
- Diagonal line of Symmetry
- Line of Symmetry for Different Shapes
- Line of Symmetry in Triangle
- Line of Symmetry in Quadrilateral
- Line of Symmetry in Trapezium (No Symmetry Lines)
- Line of Symmetry in Parallelogram(No Symmetry Lines)
- Line of Symmetry in Kite (One Line Symmetry)
- Line of Symmetry in Rectangle (Two Line Symmetry)
- Line of Symmetry in Rhombus (Two Line Symmetry)
- Line of Symmetry in Square (Four Line Symmetry)
- Line of Symmetry in Higher Polygons
- Line of Symmetry in Pentagon (Five Line Symmetry)
- Line of Symmetry in Hexagon (Six Line Symmetry)
- Line of Symmetry in Heptagon(Seven Line Symmetry)
- Line of Symmetry in Octagon (Eight Line Symmetry)
- Line of Symmetry in Other Shapes
- Line of Symmetry in Star (Five Line Symmetry)
- Line of Symmetry in Alphabets
- Vertical Line of Symmetry in English Alphabets
- Horizontal Line of Symmetry in English Alphabets
- Two Line of Symmetry (Horizontal and Vertical) in English Alphabets
- Zero Line of Symmetry in English Alphabets
- Line of Symmetry Equations
- Line of Symmetry Examples
- Practice Questions on Line of Symmetry
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