Theorems on Inscribed Angles
Theorem 1.
Theorem 1.
Write your observation about the relationship of the inscribed angle and its intercepted arc.
Theorem 2.
Theorem 2.
Theorem 2.
Write your observation about the relationship of the inscribed angle and its intercepted arc.
Theorem 3. Directions: Perform the following activity by illustrating them using the provided tools. Answer every questions that follow.
1. Draw a circle A.
2. Illustrate a diameter on circle A. Label the endpoints of the diameter with B and C.
3. On the semicircle, mark and label three points D,E, and F.
4. Draw three different angles whose vertices are D, E, and F, respectively, and whose sides contain B and C.
5. Find the measure of each of the following angles:
a. b. c.
1. What can you say about the measures of the angles?
2. What statements can you make about an inscribed angle intercepting a semicircle?
3. How would you compare the measures of inscribed angles intercepting the same arc?
Theorem 4.
Theorem 4.
Write your observation about the relationship of the inscribed angle and its intercepted arc.