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Ex 5.2, 2
Last updated at May 26, 2026 by Teachoo
Class 9
Chapter 5 Class 9 - I’m Up and Down, and Round and Round (Ganita Manja
- Definitions
- Symmetries of Circle
- Number of Circles
- Exercise Set 5.1
- Think, Draw and Infer (Page 98)
- Angle Subtended by Chords
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Exercise Set 5.2
- Mid-points and Perpendicular Bisectors of Chords
- Exercise Set 5.3
- Distance of Chords from the Centre
- Exercise Set 5.4
- Distance of unequal chords from center
- Exercise Set 5.5
- Angle subtended by an arc
- Exercise Set 5.6
- Concyclicity of Points and Cyclic Quadrilateral
- Theorems (and their Proofs)
- End-of-Chapter Exercises
Transcript
Ex 5.2, 2 Show that if two such isosceles triangles (occurring in the previous question) have equal base length, they are congruent to each other. Let’s consider same circle and ∆ AOB from previous question We need to make another isosceles triangle with equal base length Which means that the other triangle would have Same length of chord as AB Let ∆ COD be other isosceles triangle such that AB = CD We need to prove ∆ AOB ≅ ∆ COD In ΔAOB & ΔDOC AO = OD AB = CD OB = OC ∴ ∆AOB ≅ ∆ DOC Thus, we proved both triangles congruent. Hence proved (Both radius) (Given) (Both radius) (SSS rule)
