Circles Theorem Equal Chords fo a circle

http://www.learncbse.in/ncert-solutions-for-class-9-maths/

00:02 Circles Theorem:If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.

00:22 Construction to solve the theorem.

01:43 How to analyse the Figure to Extract relevant imformatiomn.

02:02 Compare Two triangles

02:34 Apply Circle Theorem:Equal chords of a circle ( or of congruent circles) are equidistant from the centre(or centres).

02:45 Apply R.H.S rule of Congruency

03:09 Apply CPCT (Corresponding Parts of Congruent Triangles)

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In this video, students learn aplication of Circles theorems (Several Theorems) and can solve sample problems relating circles and associated angles.

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Circles theorem 1. A circle is the collection of all points in a plane, which are equidistant from a fixed point in the plane.

Circles theorem 2. Equal chords of a circle (or of congruent circles) subtend equal angles at the centre.

Circles theorem 3. If the angles subtended by two chords of a circle (or of congruent circles) at the centre(corresponding centres) are equal, the chords are equal.

Circles theorem 7. Equal chords of a circle (or of congruent circles) are equidistant from the centre (or corresponding centres).

Circles theorem8. Chords equidistant from the centre (or corresponding centres) of a circle (or of congruent circles) are equal.

equal.

Circles theorem 13. Angle in a semicircle is a right angle.

Reference book for the above video is

National Council of Educational Research and Training (NCERT) Book for Class 9 Subject: Maths

This Video is also refers as CBSE Class 9 mathts NCERT Solutions Chapter 10 Circles Ex 10.4

Tagged under: GyanPub,ncert solutions,Free Online Maths Class,Maths,Free ncert solutions,Circles theorem,Equal Chords fo circle,Chords circle

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