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Symmetrical Properties of Circles

Updated: Dec 12, 2021

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

· Equal tangents

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

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!

If you have any pending questions, please do go on to our Facebook page, Instagram or contact us directly at Math Lobby! We have certified mathematics tutors to aid you in your journey to becoming a better student!

As always: Work hard, stay motivated and we wish all students a successful and enjoyable journey with Math Lobby!

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