A shape or an object has **symmetry if it can be divided into two identical pieces**. In a symmetrical shape, one-half is the mirror image of the other half. The imaginary axis or line along which the figure can be folded to obtain the symmetrical halves is called the line of symmetry.

Contents

- 1 What is the rule for symmetry?
- 2 How do you find symmetry?
- 3 What is symmetry with example?
- 4 How do you explain symmetry?
- 5 What are the 4 types of symmetry?
- 6 What are the 3 basic types of symmetry?
- 7 How do you find a symmetric matrix?
- 8 What is a line of symmetry in geometry?
- 9 What is a symmetry shape?
- 10 What are the types of symmetry in geometry?
- 11 What is symmetry in algebra?

## What is the rule for symmetry?

If a graph does not change when reflected over a line or rotated around a point, the graph is symmetric with respect to that line or point. The following graph is symmetric with respect to the x-axis (y = 0). Note that if (x, y) is a point on the graph, then (x, – y) is also a point on the graph.

## How do you find symmetry?

Algebraically check for symmetry with respect to the x-axis, y axis, and the origin. For a function to be symmetrical about the origin, you must replace y with (-y) and x with (-x) and the resulting function must be equal to the original function. So there is no symmetry about the origin.

## What is symmetry with example?

Symmetry is an attribute where something is the same on both sides of an axis. An example of symmetry is a circle that is the same on both sides if you fold it along its diameter.

## How do you explain symmetry?

Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it, to show that both sides of the shape are exactly the same.

## What are the 4 types of symmetry?

Types of symmetries are rotational symmetry, reflection symmetry, translation symmetry, and glide reflection symmetry. These four types of symmetries are examples of different types of symmetry on a flat surface called planar symmetry.

## What are the 3 basic types of symmetry?

Animals can be classified by three types of body plan symmetry: radial symmetry, bilateral symmetry, and asymmetry.

## How do you find a symmetric matrix?

How to Check Whether a Matrix is Symmetric or Not? Step 1- Find the transpose of the matrix. Step 2- Check if the transpose of the matrix is equal to the original matrix. Step 3- If the transpose matrix and the original matrix are equal, then the matrix is symmetric.

## What is a line of symmetry in geometry?

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. A square has 4 lines of symmetry, as shown below.

## What is a symmetry shape?

Symmetry. A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other. 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. • An isosceles triangle has 1 line of symmetry.

## What are the types of symmetry in geometry?

The types of symmetry considered in basic geometry include reflectional symmetry, rotation symmetry, translational symmetry and glide reflection symmetry, which are described more fully in the main article Symmetry (geometry).

## What is symmetry in algebra?

A graph is said to be symmetric about the x -axis if whenever (a,b) is on the graph then so is (a,−b). Here is a sketch of a graph that is symmetric about the x -axis. A graph is said to be symmetric about the y -axis if whenever (a,b) is on the graph then so is (−a,b).