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December 7, 2016 5-2: Perpendicular and Angle Bisectors
Geometry December 7, 2016 5-2: Perpendicular and Angle Bisectors
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DO NOW π΄πΆ is parallel toβ¦ If AB = 10, then YZ = If XY = 13, then BZ =
What is the midpoint of π΄π΅ ?
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Agenda Announcements (2nd hour only) Do Now Review Notes Practice
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I can identify and apply triangle midsegments, medians, and altitudes.
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Midsegment Properties
A midsegment is exactly half the length of its parallel side.
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Perpendicular Bisector
Bisector: Cuts into congruent parts Perpendicular: Forms a right angle
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Perpendicular Bisector
If πΆπ· is the perpendicular bisector of π΄π΅ , then π΄πΆ β
π΅πΆ .
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C is the same distance from A and B, so it is EQUIDISTANT to A and B.
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PRACTICE: Calculate x
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PRACTICE: Calculate n
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Angle Bisector Angle Bisector: A ray which divides an angle into two congruent angles.
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Angle Bisector Every point on an angle bisector is equidistant to the two sides of the angle.
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Angle Bisector πβ πππβ
πβ πππ
β ππ β
ππ
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PRACTICE: Calculate x
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PRACTICE: Calculate x
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KEY TAKEAWAY Perpendicular and angle bisectors create CONGRUENT SEGMENTS because ALL POINTS along a bisecting line are equidistant.
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ADDITIONAL PRACTICE
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