Investigating Geometry: Circles

Henrico County Public Schools

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May 2006

Lesson 8-3: Tangents

Interactive Applet

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Objective:

SOL G.11 a,b: The student will use angles, arcs, chords, tangents, and secants to
(a) investigate, verify, and apply properties of circles;
(b) solve real-world problems involving properties of circles.

 Applet Directions Close 
  1. Given the Earth and satellite dishes B, find the location on the earth's surface furthest away from dish B to build dish A so as to be able to communicate with a satellite on the given orbit.

  2. Restriction: For this scenario, a satellite dish's greatest range of transmission will be tangent to the Earth's surface. Using the move tool , drag the ray from dish B to observe the range of this dish.
 Applet Hint Close 
  1. Use the segment tool to construct the radius of the earth to point A.

  2. Use the perpendicular tool to construct the tangent to the earth from A.

  3. Using the move tool , drag point A to find where the transmissions will intersect.

  Hands-On Activities Close 
  1. Construct Tangents from a Point C.a.R.
  2. Construct a Circle Tangent to a Line C.a.R.
  3. Construct a Circle Tangent to Lines C.a.R.
  4. Construct a Tangent C.a.R.
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Glencoe: On Line Quiz

 Puzzle & Problems tangram Close 

Circle B is inscribed in qualrilateral TANG. Given: GN = 10, TG = 12, and AT = 18.
If the point of tangency bisects AT , what is the measure of AN?

tangent