Inscribed Angles

In the figure below, angle ACB is called an inscribed angle
and arc AB is called the intercepted arc of angle ACB.
GeoGebra Applet pictured above:
ch10_inscribedAngle.ggb.
1. Describe the relationship between an inscribed angle and its intercepted arc. Test your conjecture for different angle measures.
GeoGebra Applet pictured above:
ch10_inscribedAngle2.ggb.
1. Make a conjecture about two inscribed angles that intercept the same arc. Test your conjecture.
GeoGebra Applet pictured above:
ch10_inscribedAngle3.ggb.
1. Make a conjecture about the angles of quadrilateral inscribed in a circle. Test your conjecture.
GeoGebra Applet pictured above:
ch10_inscribedAngle4.ggb.
1. Make a conjecture about an angle formed by a tangent and a chord. Test your conjecture.