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Chords, Secants, Tangents, and Arcs (Grade 10)

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Chords, Secants, Tangents, and Arcs

1. 
In circle O, which is the chord?
Circle ABCD
  1. AB
  2. OD
  3. AC
  4. AO
2. 
What are line segments AE and AD called?
Circle with Two Secants ABCDE
  1. Tangents
  2. Secants
  3. Cosecants
  4. Diameters
  5. Chords
3. 
Which term best describes segments BA and BC?
Two Tangents AB and CB
  1. chords
  2. secants
  3. tangents
  4. diameters
4. 
Given the circle, assume that AB is tangent to the circle and AD passes through the center of the circle. If the circle has a radius of 5 cm, and AB is 6 cm, what is the length of secant BD?
Circle with Secant CD and Tangent AB
  1. Not enough information
  2. [math]sqrt(61) \ "cm"[/math]
  3. [math] 8 \ "cm"[/math]
  4. [math]2sqrt(34) \ "cm"[/math]
5. 
Chord AB is 6 inches from the center of the circle and is 10 inches long. Draw another chord CD that is equidistant from the center of the circle. How long is chord CD?
Circle with Chord AB
  1. 10 inches
  2. 6 inches
  3. 5 inches
  4. You cannot tell from this information
6. 
If the measure of arc ED is 120° and the measure of angle BAC is 44°, what is the measure of arc BC?
Circle with Two Secants ABCDE
  1. 34°
  2. 48°
  3. 32°
  4. 64°
7. 
If secant AE is 9 cm long, segment AB is 4 cm long and segment AC is 3 cm long, how long is secant AD? Show your work.
Circle with Two Secants ABCDE



8. 
Let the measure of arc ED be equal to 135 degrees and the measure of arc BC be equal to 25 degrees what is the measure of angle BAC? Show your work.
Circle with Two Secants ABCDE



9. 
If the measure of angle BAC is 35 degrees, the measure of arc ED is 125 degrees, and chord EB equals chord CD, what is the measure of arc EB? Show your work.
Circle with Two Secants ABCDE



10. 
Chord AB is 5 inches from the center of the circle. The radius of the circle is 13 inches. What is the length of the chord?                         
Circle with Chord AB

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