10.5: Angles Inside and Outside Circles

Move Point C or D to change the size of Arc 1. Move Point E to change the location of the vertex of the angle or the size of Arc 2.

Move Point C so that the measure of Arc 1 = 98. Move Point E outside the circle so that the measure of Arc 2 = 38. What is the m<CED?

Describe how we can use the measure of Arcs 1 and 2 to get the measure of <CED. Verify your conjecture with 2 examples.

Move Point C so that the measure of Arc 1 = 128. Move Point E inside the circle so that the measure of Arc 2 = 86. What is the m<CED?

Describe how we can use the measure of Arcs 1 and 2 to get the measure of <CED. Verify your conjecture with 2 examples.

Move Point C so that the measure of Arc 1 = 100. Move Point E so that the measure of Arc 2 = 0. What is the m<CED?

Describe how we can use the measure of Arcs 1 and 2 to get the measure of <CED. Verify your conjecture with 2 examples.

Move Point E to the center of the circle. What do you notice about the measure of Arc 1, Arc 2, and <CED?

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