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.

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

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. For example, a regular pentagon has 5 lines of symmetry. Not all shapes will have lines of symmetry however. Imagine the letter J. We cannot draw one line through the letter J with the result being two identical halves. Letters such as W , B , O , and Y do have lines of symmetry. The equation of a parabola creates an arc when it is graphed. This U shape has one line of symmetry, right down the middle of the arc. This line is referred to as the axis of symmetry. This line will split the parabola into two identical halves. Parabolas that are in vertex form will also have an axis of symmetry. However, the formula is slightly different. This means that if a line is drawn vertically through this vertex, it will divide the parabola into two equal halves.

Each half is a mirror image of the other.

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 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.

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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Edit this Article. Axis of Symmetry Sample Questions. The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form. The focus is the point on the parabola where all the rays of light converge. How to. For example, a regular pentagon has 5 lines of symmetry. The axis of symmetry always passes through the vertex of the parabola. Skip to Content. Thanks Z. Not Helpful 10 Helpful

Last Updated: January 5, Fact Checked.

The axis of symmetry is an important concept in math and science, and it has a wide range of applications. Math worksheets and visual curriculum. Return to Math Sample Questions. Download Article Learn to calculate the axes of symmetry for algebraic expressions. Trending Articles How to. Did this article help you? It can be either horizontal or vertical, facing left or right. I was in need of help and quick. Categories: Algebra. Draw the x- and y- axes. Learn why people trust wikiHow.