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Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.

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NCERT Solutions for Class 9 Maths Chapter 9 Circles Exercise 9.1 Question 2. NCERT Questions Exercises
9th Maths Chapter 9 Circles
NCERT Academic Session 2023-2024
CBSE Board and Others state Board

Description:

– A central angle is formed by extending the endpoints of a chord to the center of the circle.
– An inscribed angle is formed by two chords or a chord and a tangent line where the angle’s vertex lies on the circle.
– When chords intersect inside a circle, angles are formed at the point of intersection.
– The angle between a chord and a tangent at the point of contact is half the measure of the intercepted arc on the circle.

These angle relationships are crucial in understanding the geometry of circles and solving problems involving chords, arcs, and angles within circles.

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