Circles Theorem Equal Chords fo a circle
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.
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
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