Inscribed Angles Intercepting Arcs Conjecture

The applet below illustrates properties that involve the angles and arcs of circles that must always hold true.

What do you think the moving applet below is demonstrating?

Write a conjecture (in sentence form) that summarizes your observations.

Next, move point C and point D in the applet below.

As you move these points, observe what happens to the size of the inscribed angles. What relationship is ALWAYS true regarding the measures of the green, red, and blue angles?

Inscribed angles that intercept the same arc are_________________.

Check all that apply