Center Angle, Inscribed Angle, Circular Segment Angle and Capable Arc
- Author:
- Jorge Cássio
- Topic:
- Angles
PROPERTY OF THE INSCRIBED ANGLE
Reflection 1
Move the points A, B or C and compare the angles. What do you notice?
Proof
Guidelines for understanding of proof
Change the "steps" selector and note the justification steps. Do you understand? If you have not understood the property of the external angle click here and check. Return the selector to step 0. Move point C down. Observe the justification steps. Do you understand? Return the selector to step 0. Move point C upwards. Observe the justification steps. Do you understand?
Measure of circular segment angle
Reflection
Change the position of point C and compare the angles of the circular segment and the center angle. What do you notice?
Arc capable and inscribed angle
Reflection 3
What is the angle of the AEB? and the angle ADB? Why?
Note
The activity was elaborated in Portuguese (Brazil) and translated into English. It is important to improve! jcassio@gmail.com