circles-theorem-equal-chords-of-congruent-circles-subtend-equal-angles-at-their-centres

Circles Theorem | Equal chords of congruent circles subtend equal angles at their centres

CBSE Class 9 mathts NCERT Solutions Chapter 10 Circles Ex 10.2 Q1

Circles Theorem: Prove that equal chords of congruent circles subtend equal angles at their centres.

00:02 Q1. Recall that two circles are congruent if they have the same radii.

01:23 Use of givendata.

01:49 By using S.S.S (Side-Side-Side) rule of Congruency

002:04 Apply CPCT (Corresponding Parts of Congruent Triangles)

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In this videos

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

Circles theorem 4. The perpendicular from the centre of a circle to a chord bisects the chord.

ircle (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 12. Angles in the same segment of a circle are equal.

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

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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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