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6.2 Investigation 1: Central Angles and Chords

6.2 Investigation 1: Central Angles and Chords

Investigation 1

Step 1: Construct a large circle. Label the center . (Completed for you) Step 2: Construct two congruent chords in your circle. (Completed for you) Step 3: Construct radii , , , and . Use the segment tool to do this. Step 4: Create angles and using the angle tool. Step 5: Move point A around. What do you notice? Compare your results with the results of others near you. State your observations as your next conjecture. Central Angles and Chords Conjecture If two chords in a circle are congruent, then they determine two central angles that are _____________________.