6.4 Investigation 2: Arcs and Inscribed Angles
6.4 Investigation 2: Arcs and Inscribed Angles
Investigation 2
Step 1: Construct a large circle.
Step 2: Select two points on the circle. Label them ???? and ????.
Step 3: Select a point ???? on the major arc and construct segments ???????? and ????????. You should now have the inscribed angle ∠????????????.
Step 4: What is the measure ∠?????????????
Step 5: Select another point ???? on arc ???????????? and construct segments ???????? and ????????. Now you should have the inscribed angle, ∠????????????.
Step 6: What is the measure ∠????????????? How does the measure of ∠???????????? compare with measure of ∠?????????????
Arcs and Inscribed Angles Conjecture
Inscribed angles that intercept the same arc are _____________________.