Perpendicular Bisectors
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Flip to reveal answersDefine perpendicular bisector of segment AB.
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All 4 Flashcards — Perpendicular Bisectors
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Question
Define perpendicular bisector of segment AB.
Answer
Line through midpoint of AB and perpendicular to AB.
💡 Hint
Points on it are equidistant from A and B.
Question
Perpendicular gradient rule?
Answer
If gradient is m, perpendicular gradient is -1/m.
💡 Hint
Except horizontal/vertical special case.
Question
Why is midpoint essential in bisector equation?
Answer
Bisector must pass through midpoint of original segment.
💡 Hint
Use midpoint as anchor point in line equation.
Question
Link between bisectors and Voronoi edges?
Answer
Voronoi boundaries are perpendicular bisectors between sites.
💡 Hint
This connects 3.5.2 to 3.6.
Read the notes
Full study notes for Perpendicular Bisectors
Topic 3.5 hub
Line intersections and perpendicular bisectors
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