H Geo Ch9 Circles

Makiko Coakley, 19/02/2016

Discovery activities for Ch9 theorems and corollaries.

Índice

  1. 9-1 & 2
    1. Tangent perpendicular to radius
    2. Tangents from a point
  2. 9-3
  3. 9-4
    1. Congruent Chords and their Central Angles
    2. Chord, Arc and Diameter
    3. Chords and Distance from the Center
  4. 9-5
  5. 9-6
  6. 9-7

1.

9-1 & 2

Basic Terms & Tangent

  • 1. Tangent perpendicular to radius
  • 2. Tangents from a point

1.1.

Tangent perpendicular to radius

Tangent perpendicular to radius
Tangent perpendicular to radius
– mcdull

1.2.

–

2.

9-3

Arcs and Central Angles


    Criar uma versão para estudantes

3.

9-4

Arcs and Chords

  • 1. Congruent Chords and their Central Angles
  • 2. Chord, Arc and Diameter
  • 3. Chords and Distance from the Center

3.1.

Congruent Chords and their Central Angles

Explore the properties of central angles and arcs formed by congruent chords in a circle by dragging points A, B, and D.

1. What do you notice about the chord lengths? 2. What do you notice about the central angles? 3. What do you notice about the arcs? 4. Conclusion: _________ chords have __________ arcs. Created with GeoGebra by taramsharkey Questions revised by geometer
– geometer, Mathguru

3.2.

–

3.3.

–

4.

9-5

Inscribed Angles


    Criar uma versão para estudantes

5.

9-6

Other Angles


    Criar uma versão para estudantes

6.

9-7

Circles and Lengths of Segments


    Criar uma versão para estudantes

Informação