Circle Properties

tinhel, Luci Howard, Rose Neal, Nov 4, 2017

Use this applet to discover the properties of Circles!

Table of Contents

  1. Chord Properties
    1. Central Angles and Chords of Circles
    2. Perpendicular Lines to Chords of Circles
    3. Perpendicular Bisector of a Chord of a Circle
  2. Tangent Properties
    1. Point of Tangency
    2. Tangent Segments
  3. Angles of Circles
    1. Inscribed Angles
    2. Inscribed Angles Intercepting the Same Arc
    3. Inscribed Angles of a Semicircle
    4. Cyclic Quadrilaterals
    5. Parallel Lines and Intercepted Arcs
  4. Secants
    1. Intersecting Secants Outside of a Circle
    2. Angles Formed By Intersecting Chords

1.

Chord Properties

  • 1. Central Angles and Chords of Circles
  • 2. Perpendicular Lines to Chords of Circles
  • 3. Perpendicular Bisector of a Chord of a Circle

1.1.

Central Angles and Chords of Circles

Use this applet to discover the properties of Central Angles and Chords of Circles!
Central Angles and Chords of Circles
– tinhel

1.2.

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1.3.

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2.

Tangent Properties

Use this applet to discover the properties of points of Tangency on a Circle!

  • 1. Point of Tangency
  • 2. Tangent Segments

2.1.

Point of Tangency

Use this applet to discover the properties of points of Tangency on a Circle!
Point of Tangency
– tinhel

2.2.

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3.

Angles of Circles

Use this applet to discover the properties of Inscribed Angles of a Circle!

  • 1. Inscribed Angles
  • 2. Inscribed Angles Intercepting the Same Arc
  • 3. Inscribed Angles of a Semicircle
  • 4. Cyclic Quadrilaterals
  • 5. Parallel Lines and Intercepted Arcs

3.1.

Inscribed Angles

Use this applet to discover the properties of Inscribed Angles of a Circle!
Inscribed Angles
– tinhel

3.2.

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3.3.

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3.4.

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3.5.

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4.

Secants

  • 1. Intersecting Secants Outside of a Circle
  • 2. Angles Formed By Intersecting Chords

4.1.

Intersecting Secants Outside of a Circle

Intersecting Secants Outside of a Circle
Intersecting Secants Outside of a Circle
– Luci Howard

4.2.

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