Circles Theorem | Equal chords subtends equal segments within the circle
CBSE Class 9 mathts NCERT Solutions Chapter 10 Circles Ex 10.3 Q3
00:02 Circles Theorem:If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord.
00:20 Construction to solve the Above Circle theorem
02:00 Apply S.S.S rule of Congruency
02:20 Apply CPCT (Corresponding Parts of Congruent Triangles)
03:23 Apply S.A.S rule of Congruency
03:36 Apply CPCT
04:10 Using Linear Pair
Follow us on Google Plus:
Like us on Facebook:
Follow us on twitter
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 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 4. The perpendicular from the centre of a circle to a chord bisects the chord.
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.
Circles theorem 11. The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
Circles theorem 12. Angles in the same segment of a circle are equal.
Circles theorem 13. Angle in a semicircle is a right angle.
For more Videos Visit
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
Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip
Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans
1. Students enter a simple code
2. You play the video
3. The students comment
4. You review and reflect
* Whiteboard required for teacher-paced activities
Carry out a quickfire formative assessment to see what the whole class is thinking
Create interactive presentations to spark creativity in class
Student teams can create and share collaborative presentations from linked devices
Turn any public video into a live chat with questions and quizzes