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5.15.2 Midsegments & Perpendicular Bisectors
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November 04, 2014
5.1 Midsegment of a TriangleMidsegment of a Triangle: segment that connects the midpoints of 2 sides of a triangle
Every triangle has 3 midsegments.
Midsegement Theorem: midsegment is parallel to the 3 side and is 1/2 as long
A C
B
ED
F
DE // ACDE = 1/2 AC
DF // BCDF = 1/2 BC
EF // BAEF = 1/2 BA
5.15.2 Midsegments & Perpendicular Bisectors
HW worksheet odds
November 04, 2014
5.15.2 Midsegments & Perpendicular Bisectors
HW worksheet odds
November 04, 2014
5.15.2 Midsegments & Perpendicular Bisectors
HW worksheet odds
November 04, 2014
5.2 Perpendicular BisectorsEquidistant: same distancePerpendicular Bisector: a segment that is perpendicular to a segment at its midpoint.
CP is bisesctor of ABA BCP
A B
C
PIf CP is bisesctor of AB, then CA = CB
A BCP
D
If DA = DB, then D lies on the bisesctor of AB.
Perpendicular Bisector Theorem: If a point is on the bisector, then it is equidistant from the endpoints of the segment.
Converse of the Perpendicular Bisector Theorem: If a point in equidistant from the endpoints of a segment, then it is on the bisector.
5.15.2 Midsegments & Perpendicular Bisectors
HW worksheet odds
November 04, 2014
5.15.2 Midsegments & Perpendicular Bisectors
HW worksheet odds
November 04, 2014
Concurrent: when 3 or more lines intersect in the same pointPoint of Concurrency: the point of intersection
Circumcenter: the point of concurrency of the 3 perpendicular bisectors of a triangle
5.15.2 Midsegments & Perpendicular Bisectors
HW worksheet odds
November 04, 2014
Concurrency of Perpendicular Bisector Theorem: the perpendicular bisector of a triangle intersects at a point that is equidistant from the vertices.
A
B
C
P
AP=BP=CP
5.15.2 Midsegments & Perpendicular Bisectors
HW worksheet odds
November 04, 2014
HW worksheet odds
5.15.2 Midsegments & Perpendicular Bisectors
HW worksheet odds
November 04, 2014
5.15.2 Midsegments & Perpendicular Bisectors
HW worksheet odds
November 04, 2014
