Theorem 10.1 - Chapter 10 Class 9 Circles (Term 2)
Last updated at Aug. 13, 2018 by Teachoo
Theorems
Theorem 10.1
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Theorem 10.2 Important
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 10.1 Equal chords of a circle subtend equal angles at the center. Given: A circle with center O. AB and CD are equal chords of circle i.e. AB = CD To Prove : ∠AOB = ∠DOC Proof : In ΔAOB & ΔDOC AO = OD AB = CD OB = OC ∴ ∆AOB ≅ ∆ DOC ∴ ∠ AOB = ∠ DOC Hence, Proved.
