Circles Theorem| Chords of congruent circles subtend equal angles

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

00:02 Circles Theorem:Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.

01:11 Two circles are congruent if they have the same radii

01:37 Apply S.S.S rule of Congruency

01:58 Apply CPCT (Corresponding Parts of Congruent Triangles)

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

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 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.

Circles theorem 9. If two arcs of a circle are congruent, then their corresponding chords are equal and conversely if two chords of a circle are equal, then their corresponding arcs (minor, major) are congruent.

Circles theorem 10. Congruent arcs of a circle subtend equal angles at the centre.

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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

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