6.2 Chords

chord:
Possible response: a line segment that has both endpoints on a circle

diameter:
Possible response: a chord that passes through the center of a circle

2) Practice: Using Visual Cues and Summarizing
Draw three chords and three diameters on the circles below. Label their endpoints.
Use notation to name each chord and diameter.

Segments will vary. For chords, accept all segments that have both endpoints on the circle. For diameters, accept all chords that pass through the center of the circle.


Chords (Pages 2 – 3)





chords:      ‾     ​,      ‾     ​,      ‾     ​

Names will vary. Students should use the two endpoints of each chord to name it correctly with notation.
AB; CD; EF

Diameters (Pages 23 – 24)





diameters:      ‾     ​,      ‾     ​,      ‾     ​

Names will vary. Students should use the two endpoints of each diameter to name it correctly with notation.
AB; CD; EF

3) Practice: Organizing Information (Pages 23 – 24)
Fill in the blanks to complete the list.

Diameter Facts

  • The diameter is twice the length of the ‾​ of the same circle.

    radius

  • All diameters of a circle have the same ‾​.

    length

  • A circle has an ‾​ number of diameters.

    infinite/endless

  • The diameter defines the ‾​ of a circle.

    size

  • The diameter is the ‾​ across the center of a circle.

    distance

4) Practice: Summarizing (Pages 6 – 9)
Fill in the blanks to complete the rule and its converse.

5) Practice: Using Visual Cues and Drawing Inferences (Pages 6 – 9)
Use the diagram to complete the facts and conclusion.



6) Practice: Summarizing (Pages 15 – 19)
Fill in the blanks to complete the rule and its converse.

7) Practice: Using Visual Cues and Drawing Inferences (Pages 15 – 19)
Use the diagram to complete the facts and conclusions.