Concyclic Points - Making 4 points concyclic [with Video] - Teachoo - Concyclicity of Points and Cyclic Quadrilateral

part 2 - Concyclicity of Points - Concyclicity of Points and Cyclic Quadrilateral - Chapter 5 Class 9 - I’m Up and Down, and Round and Round (Ganita Manja - Class 9
part 3 - Concyclicity of Points - Concyclicity of Points and Cyclic Quadrilateral - Chapter 5 Class 9 - I’m Up and Down, and Round and Round (Ganita Manja - Class 9

 

Proof is here Theorem 10 - Chapter 5 Class 9 – Ganita Manjari Part 1

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Transcript

Concyclicity of Points What are Concyclic Points? Any 3 points (like A, B, and C) will always perfectly form a circle. But getting a 4th point to land exactly on that same circle is special! When 4 or more points lie on the exact same circle, we call them concyclic points How to make 4 points concyclic? We are given a Theorem for this Theorem 10: If a line segment AB joining two points A, B subtends equal angles at two other points C, D that lie on the same side of AB, then the four points lie on a circle. Let’s look at the proof Proof is here Theorem 10 - Chapter 5 Class 9 – Ganita Manjari Part 1

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