Hello, students of Math Lobby! Today, we will be learning about the ** symmetrical properties of circles**. These are very useful properties to understand as it will be helpful in application for solving certain types of questions related to circles. So, without further ado, let’s begin!

__In this note, you will learn:__

__Symmetric Properties of Circles__

· __Perpendicular bisector of chord__

· __Equal chords__

· __Tangent perpendicular to radius__

· __Equal tangents__

__Symmetric Properties of Circles__

__Symmetric Properties of Circles__

__1) Perpendicular bisector of chord__

The perpendicular bisector of a chord of a circle passes through the center of the circle, i.e. XM = OM, OM ⊥ XY.

### 2) __Equal chords__

Chords that are equidistant from the center of a circle are equal in length,

i.e. WX = JK, OM = ON

### 3) __Tangent perpendicular to radius__

The tangent at the point of contact is perpendicular to the radius of a circle,

i.e. XY ⊥ OK

### 4) __Equal tangents__

Tangents from an external point are equal in length. The line from the center of a circle to an external point bisects the angle between the two tangents from the external point, i.e. XD = XE

And that’s all for today, students! Math Lobby hopes that after this article, you have a clear understanding on the symmetric properties of circles!

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