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Central Angle, Inscribed Angle, Circular Segment Angle and Arc

INSCRIBED ANGLE PROPERTY

Analysis 1

Move points A, B or C and compare the angles. What can you notice?

Proof

Demo Preview Guidelines

Change the "steps" selector and observe the proof steps. Did you understand the proof? In case you did not understand the property of the external angle click here and review. Go back to step 0. Move point C downwards. Notice the proof steps. Did you understand the proof? Go back to step 0. Move point C upwards. Notice the proof steps. Did you understand the proof?

Measure of circular segment angle

Analysis 2

Change the position of point C and compare the circular segment angles and the central angle. What can you notice?

Arc

Analysis 3

What is the measure of the angle AEB? and of the angle ADB? Why?