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Class 9 Maths Chapter 9, Circles Class 9 Class 9 Maths 2026-27 | Theorem 9.4 Circles | Start Your Prep Early! In this video, we provide a detailed, step-by-step handwritten proof of Theorem 9.4 from the Class 9 Maths NCERT chapter on Circles. We explain the logic behind "Equal chords of a circle subtend equal angles at the centre" What You Will Learn: Complete handwritten proof of Theorem 9.4. How to prove Class 9 Circles Theorem 9.4 Logical explanation of Congruent Triangles within Circles. Tips for presenting geometry proofs in your school exams. Mathematical Breakdown: Given: A circle with center O and a chord AB. M is the midpoint of AB such that AM=BM. To Prove: OM⊥AB (meaning ∠OMA=∠OMB=90∘). Methodology: We utilize the SSS (Side-Side-Side) Congruence Rule to prove that △AOM≅△BOM. Key Concept: Since the radii are equal (OA=OB) and the midpoint is given (AM=BM), the triangles are congruent by SSS. By CPCT, the angles ∠OMA and ∠OMB are equal; since they form a linear pair on the chord AB, each must be 90∘, proving the line is perpendicular. Theorem 9.3: • Circles Theorem 9.3 | Class 9 | Proof and ... Theorem 9.2: • Circles Theorem 9.2 | Class 9 | Proof and ... Theorem 9.1: • Circles Theorem 9.1 | Class 9 | Proof and ... Exercise 9.1: • Circles Ex 9.1 | Class 9 | NCERT Solutions... Textbooks Covered: While we follow the NCERT curriculum, these concepts are essential for students using: R.D. Sharma R.S. Aggarwal S. Chand & Pearson Foundation About Morning Star Academy: We are building a comprehensive digital library of mathematics solutions. Our mission is to provide high-quality, step-by-step guidance for students aiming for academic excellence and competitive success. Subscribe to join the Academy! 🌟 #Class9Maths #Circles #Theorem9.4 #NCERT #MorningStarAcademy #GeometryProof #circlestheorem9.4 #congruenceoftriangles #congruent #circlesclass9 #ncertsolutions #theorem9.4 #cbseclass9mathematics Link to the NCERT Textbook: https://amzn.to/3OtPLGj As an Amazon Associate, Morning Star Academy earns from qualifying purchases. This helps support our mission to provide free education to students. 0:00 Start 0:50 Recap 01:03 Th. 9.4, what does it say? 01:34 Construction - Why use dotted lines? 03:25 Given Identified 04:00 To prove - Th. 9.4 04:26 Proof of Th. 9.4 06:43 Why ∠OMA is 90. Linear Pairs 08:14 Th. 9.4 revision for exam class 9 maths theorem 9.4 theorem 9.4 class 9 maths circles theorem 9.4 class 9 ch 9 theorem 9.4 class 9 circles introduction theorem circlestheorem9.4, circles class 9, circles class 9 theorem 9.4, circles class 9 theorems, class 9 maths chapter 9, class 9th chapter circles theorem 9.4, circles theorem 4 class 9 circles rapid revision, class 9 circles theorems class 9 maths Class 9 Circles #theorem9.4class9 #circlestheorem9.4