How to find the equation of the axis of symmetry

A line of symmetry refers to a line that is drawn through the center of a shape so that it creates two identical halves. Each half is a mirror image of the other. Some shapes have one line of symmetry, like an isosceles triangle, and other shapes have many lines of symmetry.

An axis of symmetry can be either horizontal, vertical, or diagonal. There are a few different equations that can be used to find the axis of symmetry for a given shape or object. In this blog post, we will go over a few of these equations and provide some examples to help you better understand how they work. The axis of symmetry is an imaginary line that bisects a two-dimensional figure. It is the line about which a figure is symmetrical. The axis of symmetry is the y-axis.

How to find the equation of 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. This line can be vertical, horizontal, or slanting. We can see this axis of symmetry even in nature such as flowers, riverbanks, buildings, leaves, and so on. We can observe this in the Taj Mahal, the iconic marble structure in India. The axis of symmetry is a straight line that makes the shape of the object symmetrical. The axis of symmetry creates the exact reflections on each of its sides. It can be either horizontal, vertical, or lateral. If we fold and unfold an object along the axis of symmetry, the two sides are identical. Different shapes have different lines of symmetry. A square has four lines of symmetry, a rectangle has 2 lines of symmetry, a circle has infinite lines of symmetry and a parallelogram has no line of symmetry. A regular polygon of 'n' sides has 'n' axes of symmetry. The axis of symmetry is an imaginary line that divides a figure into two identical parts such that each part is a mirror reflection of one another. When the figure is folded along the axis of symmetry, the two identical parts superimpose. A parabola has one line of symmetry.

If the degree of the polynomial is higher than 2, you will need to find the axis of symmetry by using a graph. To identify the axis of symmetry of a parabola, one must first find the equation of the parabola.

Last Updated: January 5, Fact Checked. To create this article, volunteer authors worked to edit and improve it over time. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed , times. Learn more The graph of a polynomial or function reveals many characteristics that would not be clear without a visual representation. One of these characteristics is the axis of symmetry: a vertical line on a graph that splits the graph into two symmetrical mirror images.

Home » Geometry » Symmetry » Axis of Symmetry. The axis of symmetry is an imaginary line that makes the shape symmetrical about it. In other words, it divides the shape into two halves such that each half is a mirror image of the other. If we fold and unfold an object along the axis of symmetry, the two sides are identical. The axis of symmetry is best studied in a parabola, while graphing a quadratic function. Thus, the axis of symmetry of a parabola is the line about which a parabola is symmetric. It always passes through its vertex. The axis of symmetry determines the form of the parabola. It can be either horizontal or vertical, facing left or right. Now, we will discuss how to find the axis of symmetry of parabola from its standard and vertex forms of equations.

How to find the equation of the axis of symmetry

A circle is thus said to be symmetric under rotation or to have rotational symmetry. The types of symmetries that are possible for a geometric object depend on the set of geometric transforms available, and on what object properties should remain unchanged after a transformation. Because the composition of two transforms is also a transform and every transform has, by definition, an inverse transform that undoes it, the set of transforms under which an object is symmetric form a mathematical group , the symmetry group of the object.

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Maths Program. Different shapes have different lines of symmetry. Club Z! One of these characteristics is the axis of symmetry: a vertical line on a graph that splits the graph into two symmetrical mirror images. Essentially, in order to determine the axis of symmetry, we simply need to identify the vertex. Some shapes have one line of symmetry, like an isosceles triangle, and other shapes have many lines of symmetry. Breakdown tough concepts through simple visuals. To find the axis of symmetry of a shape, you need to know the coordinates of the vertices the corners of the shape. Our Mission. This article has been viewed , times.

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.

Tips and Warnings. Maths Games. Essentially, in order to determine the axis of symmetry, we simply need to identify the vertex. Thanks Z. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. Commercial Maths. You Might Also Like How to. Axis of Symmetry of a Parabola A parabola is a two-dimensional curve that is the result of a quadratic equation. Math will no longer be a tough subject, especially when you understand the concepts through visualizations. The axis of symmetry is an imaginary straight line that divides the shape into two identical parts or that makes the shape symmetrical. The axis of symmetry divides the parabola into two mirror images. The vertex is the point where the axis of symmetry intersects the parabola. The axis of symmetry is the midpoint of its two x-intercepts. About Us.