# What is symmetry in a circle?

Table of Contents

## What is symmetry in a circle?

Symmetry in a Circle A circle is symmetrical about any of its diameter. By symmetrical, we mean that the circle can be divided into two congruent parts by any of its diameter.

## Are circles symmetric with respect to the origin?

Show algebraically that a circle with center at the origin is symmetric with respect to the origin. A circle with center at the origin and radius r >0 has equation x 2+ y 2= r 2. By substituting − x for x and − y for y . we get an equivalent equation.

## How do you know if a function is symmetric?

Test for symmetry about the origin: Replace y with (-y) AND x with (-x). Simplfy the equation. If the resulting equation is equivalent to the original equation then the graph is symmetrical about the origin.

## Are cubic functions symmetric?

This cubic is centered at the point (0, –3). This graph is symmetric, but not about the origin or the y-axis. So this function is neither even nor odd. However, the graph is also symmetric about the origin, so this function is odd.

## What point is symmetric with respect to the Y axis to the point?

II. Symmetry (Geometry) We say that a graph is symmetric with respect to the y axis if for every point (a,b) on the graph, there is also a point (-a,b) on the graph. Visually we have that the y axis acts as a mirror for the graph.

## What does it mean to be symmetric about the y-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) . A graph is said to be symmetric about the origin 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 origin.

## What is a symmetrical point?

Point Symmetry is when every part has a matching part. the same distance from the central point. but in the opposite direction. It looks the same when viewed from opposite directions (180° rotation).

## Does the letter I have point symmetry?

Notice that the A has a vertical line of symmetry, while the B, C, D, and E have a horizontal line of symmetry. Let’s look at some more letters! J, K, L, N, and P have zero lines of symmetry. M has one line of symmetry, and H, I, and O have 2 lines of symmetry.