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Chords, Secants, Tangents, and Arcs - Practice #2 (Grade 10)

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Chords, Secants, Tangents, and Arcs - Practice #2

1. 
In the circle below, which line segment is a secant?
Circle with Secant CD and Tangent AB
  1. AB
  2. BC
  3. BD
  4. CD
2. 
If a diameter is drawn perpendicular to the chord shown on this circle, it will bisect the chord and the arcs it defines.
Circle with Chord
  1. True
  2. False
3. 
What do you know about intersecting chords?
  1. One chord is half of the other chords
  2. Their difference is -1
  3. The product of their divided lengths are equal
4. 
Draw a tangent line that meets the circle at the same point as the radius drawn in the diagram. What is the measure of the angle formed by the radius and the tangent line?
Circle with Radius



5. 
Assume chords BE and CD are equal in length. What can we tell about the degree measure of Arcs BE and CD respectively?
Circle with Two Secants ABCDE



6. 
Chord AB is 8 inches long and 3 inches away from the center. How big is the radius of the circle? Show your work.
Circle with Chord AB



7. 
If the measure of angle BAC is equal to 30 degrees and the measure of arc BC is equal to 28 degrees, what is the measure of arc ED? Show your work.
Circle with Two Secants ABCDE



8. 
Let AB = 4 cm, BE = 6 cm, and AC = 3 cm, what is the length of DC? Round to the nearest tenth. Show your work.
Circle with Two Secants ABCDE



9. 
If the measure of arc ED is 118 degrees, the measure of arc BC is equal to 32 degrees, and chord EB equals chord DC, what are the measures of arcs EB and DC?
Circle with Two Secants ABCDE



10. 
Given the circle below, assume that AD passes through the center of the circle, AB is tangent to the circle, and [math]m ang ADB =35deg[/math]. Find the measure of [math]ang ABD[/math].
Circle with Secant CD and Tangent AB



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