Segments & Lines in Circles

cnorris, 18/10/2021

This book will explore the properties of chords, secants, and tangents in circles.

Tabla de Contenidos

  1. Properties of Tangents
    1. Tangent & Radius Relationship
    2. Tangents Intersect at a Point
  2. Properties of Chords
    1. Intersecting Chord & Diameter
    2. Chords Equidistant from Center
    3. ACCESS - Chords and Arcs
  3. Properties of Secants
    1. Secant Secant Intersecting Inside
    2. Secant Secant Intersecting Outside
    3. Secant/Tangent Intersecting

1.

Properties of Tangents

  • 1. Tangent & Radius Relationship
  • 2. Tangents Intersect at a Point

1.1.

Tangent & Radius Relationship

Tangent & Radius Relationship
1. What kind of segment is AB?[br]2. What kind of line is BC?[br]3. Hold and drag point A. What do you notice about [math]\angle ABC[/math]?[br]4. Write a conclusion about the relationship between a radius and a tangent line?
– cnorris

1.2.

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2.

Properties of Chords

  • 1. Intersecting Chord & Diameter
  • 2. Chords Equidistant from Center
  • 3. ACCESS - Chords and Arcs

2.1.

Intersecting Chord & Diameter

Intersecting Chord & Diameter
What kind of segment is CD?
2. What kind of segment is FE?
3. What do you notice about EF and CD?
4. What do you notice about the lengths of CG & DG?
5. If CG is 5.8, what is the length of DG?
6. If CD is 12, what is the length of DG? (Make sure you read this questions carefully!)
– cnorris

2.2.

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2.3.

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3.

Properties of Secants

  • 1. Secant Secant Intersecting Inside
  • 2. Secant Secant Intersecting Outside
  • 3. Secant/Tangent Intersecting

3.1.

Secant Secant Intersecting Inside

[center]You should have the [b][u]WHITE HALF SHEET[/u][/b]. [br][br][i]Make sure to draw a picture of the figure below on your paper.[/i][/center]
1. What kind of lines are CD and EF?
2. Where are the secants interesting? (Inside or Outside of the circle?)
3. Drag points D,E, and/or C to create 5 different circles. Fill in the table I have given you. Then find a conclusion about the pieces of the secants inside the circle.
– cnorris

3.2.

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3.3.

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Información