Lesson 9.2 Chord Properties 3

Now you’ll investigate the converse of the conjecture you made in Question 1 of the last investigation.[br]1. What do you notice about the perpendicular bisector of a chord? Drag parts of your sketch to confirm that this is always true, then write a conjecture (Perpendicular Bisector of a Chord Conjecture).[br]2. Hide the center of your circle. Now perform a construction to locate the center. Explain how you did it.

[b]Perpendicular Bisector of a Chord Conjecture:[/b] The perpendicular bisector of a chord passes through the ____________________________________.

inscribed triangle center of the circle minor arc

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Chords don't have perpendicular bisectors. The perpendicular bisector always passes through the center of the circle. It's math.

Lesson 9.2 Chord Properties 3

Information: Lesson 9.2 Chord Properties 3