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Theorem 10.2 - Chapter 10 Class 9 Circles (Term 2)
Last updated at March 16, 2023 by Teachoo
Theorems
Theorem 10.1
Theorem 10.2 Important You are here
Theorem 10.3 Important Deleted for CBSE Board 2023 Exams
Theorem 10.4
Theorem 10.5
Theorem 10.6 Important
Theorem 10.7
Theorem 10.8 Important
Theorem 10.9
Theorem 10.10 Important
Theorem 10.11
Theorem 10.12 Important
Angle in a semicircle is a right angle Important
Chapter 10 Class 9 Circles
Serial order wise
Transcript
Theorem 10.2 If the angles subtended by the chords of a circle at the center are equal, then the chords are equal. Given : A circle with center O. AB and CD are chords that subtend equal angles at center i.e. ∠AOB = ∠DOC To Prove : AB = CD Proof : In ΔAOB & ΔDOC OA = OD ∠AOB = ∠DOC OB = OC ∴ ∆AOB ≅ ∆ COD ∴ AB = CD Hence, Proved.
