6.2 Investigation 3: Perpendicular Bisectors and the Center

6.2 Investigation 1: Central Angles and Chords Conjecture

Investigation 3

Step 1: Construct a large circle. (Completed for you) Step 2: Construct two nonparallel congruent chords that are not diameters. (Completed for you) Step 3: Construct the perpendicular bisector of each chord. Use the perpendicular bisector tool to complete this. Click the tool and then the chord. What is special about the point of intersection? Step 4: Move endpoints of the chord around. Does your conclusion change from above? Compare your results with the results of others near you. State your observations as a conjecture. Perpendicular bisectors and the Center Conjecture The perpendicular bisector of a chord ____________________________________________________________________.