Write your observation about the relationship of the inscribed angle and its intercepted arc.
Write your observation about the relationship of the inscribed angle and its intercepted arc.
1. Draw a circle A.[br]2. Illustrate a diameter on circle A. Label the endpoints of the diameter with B and C.[br]3. On the semicircle, mark and label three points D,E, and F.[br]4. Draw three different angles whose vertices are D, E, and F, respectively, and whose sides contain B and C.[br]5. Find the measure of each of the following angles:[br] a. [math]\angle BDC[/math]  b. [math]\angle BEC[/math] c. [math]\angle BFC[/math]
1. What can you say about the measures of the angles?[br]
2. What statements can you make about an inscribed angle intercepting a semicircle?[br]
3. How would you compare the measures of inscribed angles intercepting the same arc?
Write your observation about the relationship of the inscribed angle and its intercepted arc.