10.2 exploring chord properties

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10.2 Exploring Chord Properties 1 March 26, 2014 10.2 Exploring Chord Properties

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Page 1: 10.2 Exploring Chord Properties

10.2 Exploring Chord Properties

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March 26, 2014

10.2 Exploring

Chord Properties

Page 2: 10.2 Exploring Chord Properties

10.2 Exploring Chord Properties

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March 26, 2014

13 cm5 cm

3 cm

4 cm

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10.2 Exploring Chord Properties

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March 26, 2014

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10.2 Exploring Chord Properties

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10.2 Exploring Chord Properties

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Review: Chord

Definition: Perpendicular Bisector

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10.2 Exploring Chord Properties

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Chord Properties

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

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Chord Properties

If a bisector of a chord in a circle passes through the centre, then the bisector is perpendicular to the chord.

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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

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Chord Properties

The perpendicular bisectors of two distinct chords intersect at the centre of the circle.

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Chord Properties

Congruent chords are equidistant the circle.

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Chord Properties

Chords equidistant from the centre of a circle are equal

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Chord Properties

The shortest path between the centre of a circle and a chord is a line that is perpendicular to the chord.

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Examples

Find the indicated values for the following diagrams. Give reasons ("proofs").

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10.2 Exploring Chord Properties

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Examples

Find the indicated values for the following diagrams. Give reasons ("proofs").

Page 15: 10.2 Exploring Chord Properties

10.2 Exploring Chord Properties

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March 26, 2014

Examples

Find the indicated values for the following diagrams. Give reasons ("proofs").

Page 16: 10.2 Exploring Chord Properties

10.2 Exploring Chord Properties

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March 26, 2014

Examples

Find the indicated values for the following diagrams. Give reasons ("proofs").

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10.2 Exploring Chord Properties

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March 26, 2014