Center Angle, Inscribed Angle, Circular Segment Angle and Capable Arc

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?[br]If you have not understood the property of the external angle [url=https://www.geogebra.org/m/eFMvcngj]click here[/url] and check.[br]Return the selector to step 0. Move point C down. Observe the justification steps. Do you understand?[br]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! [url=mailto:jcassio@gmail.com]jcassio@gmail.com[/url]

Information: Center Angle, Inscribed Angle, Circular Segment Angle and Capable Arc