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 _____________________.