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GeoGebraGeoGebra Classroom

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? 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