# Summary

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In this chapter, you have studied the following points:

- A circle is the collection of all points in a plane, which are equidistant from a fixed
in the plane.

2. Equal chords of a circle (or of congruent circles) subtend equal

3. If the angles subtended by two chords of a circle (or of congruent circles) at the centre (corresponding centres) are equal, the chords are also

4. The perpendicular from the centre of a circle to a chord

5. The line drawn through the centre of a circle to bisect a chord is

6. Equal chords of a circle (or of congruent circles) are

7. Chords equidistant from the centre (or corresponding centres) of a circle (or of congruent circles) are

8. If two arcs of a circle are congruent, then their corresponding chords are equal and conversely if two chords of a circle are equal, then their corresponding arcs (minor, major) are

9. Congruent arcs of a circle subtend equal

10. The angle subtended by an arc at the centre is

11. Angles in the same segment of a circle are

12. Angle in a semicircle is a

13. If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment, the four points lie on a

14. The sum of either pair of opposite angles of a cyclic quadrilateral is

15. If sum of a pair of opposite angles of a quadrilateral is