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# 10.2 Exploring Chord Properties

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### 10.2 Exploring Chord Properties

1. 1. 10.2 Exploring Chord Properties 1 March 26, 2014 10.2 Exploring Chord Properties
2. 2. 10.2 Exploring Chord Properties 2 March 26, 2014 13 cm 5 cm 3 cm 4 cm
3. 3. 10.2 Exploring Chord Properties 3 March 26, 2014
4. 4. 10.2 Exploring Chord Properties 4 March 26, 2014
5. 5. 10.2 Exploring Chord Properties 5 March 26, 2014 Review: Chord Definition: Perpendicular Bisector
6. 6. 10.2 Exploring Chord Properties 6 March 26, 2014 Chord Properties The perpendicular from the centre of a circle to a chord bisects the chord.
7. 7. 10.2 Exploring Chord Properties 7 March 26, 2014 Chord Properties If a bisector of a chord in a circle passes through the centre, then the bisector is perpendicular to the chord.
8. 8. 10.2 Exploring Chord Properties 8 March 26, 2014 Chord Properties If a line passes through the centre of a circle and intersects a chord at right angles, then the line bisects the chord
9. 9. 10.2 Exploring Chord Properties 9 March 26, 2014 Chord Properties The perpendicular bisectors of two distinct chords intersect at the centre of the circle.
10. 10. 10.2 Exploring Chord Properties 10 March 26, 2014 Chord Properties Congruent chords are equidistant the circle.
11. 11. 10.2 Exploring Chord Properties 11 March 26, 2014 Chord Properties Chords equidistant from the centre of a circle are equal
12. 12. 10.2 Exploring Chord Properties 12 March 26, 2014 Chord Properties The shortest path between the centre of a circle and a chord is a line that is perpendicular to the chord.
13. 13. 10.2 Exploring Chord Properties 13 March 26, 2014 Examples Find the indicated values for the following diagrams. Give reasons ("proofs").
14. 14. 10.2 Exploring Chord Properties 14 March 26, 2014 Examples Find the indicated values for the following diagrams. Give reasons ("proofs").
15. 15. 10.2 Exploring Chord Properties 15 March 26, 2014 Examples Find the indicated values for the following diagrams. Give reasons ("proofs").
16. 16. 10.2 Exploring Chord Properties 16 March 26, 2014 Examples Find the indicated values for the following diagrams. Give reasons ("proofs").
17. 17. 10.2 Exploring Chord Properties 17 March 26, 2014