Angles Created by Secants and Tangents

Neleigh Johnson, Mar 20, 2018

Students will discover the relationships between angles in circles created by secants and tangents.


  • 1. Interior Intersections
  • 2. On the Circle Intersections
  • 3. Exterior Intersections

1.

Interior Intersections

Answer the following questions on your own paper:
1. What are line CD and line FE? (Look at your Circle Part Dictionary!)[br]2. What do you know about [math]\angle CGE[/math] and [math]\angle FGD[/math]?[br]3. Compare the sum of Arc [i]FBD [/i]and Arc [i]CE [/i]to the measure of [math]\angle CGE[/math]. What do you notice?[br]4. Change the angles and repeat #2 until you can make a conjecture. Write it down![br] **[i]Make sure none of the points switch places!![/i][br]5. Why do you think that pattern occurs?
– Neleigh Johnson

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