Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

NCERT Solutions for Class 9 Maths Chapter 9 Circles Exercise 9.1 Question 1. NCERT Questions Exercises
9th Maths Chapter 9 Circles
NCERT Academic Session 2023-2024
CBSE Board and Others state Board
Description:
A chord of a circle is a straight line segment that connects two points on the circumference of the circle. It lies entirely inside the circle and can vary in length and position within the circle. If a chord passes through the center of the circle, it becomes the diameter, which is the longest possible chord for that circle. The perpendicular from the center of the circle to a chord bisects the chord, dividing it into two equal segments. Chords play a fundamental role in circle geometry and are used to establish various relationships within circles.