Upload
mrs-hedricks-class
View
41
Download
0
Embed Size (px)
DESCRIPTION
Midsegements & Perpendicular Bisectors
Citation preview
5.15.2
HW worksheet odds 1
November 05, 2013
Nov 88:13 AM
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
HW worksheet odds 2
November 05, 2013
Nov 811:45 AM
5.15.2
HW worksheet odds 3
November 05, 2013
Nov 811:50 AM
5.15.2
HW worksheet odds 4
November 05, 2013
Nov 811:51 AM
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
HW worksheet odds 5
November 05, 2013
Nov 82:02 PM
5.15.2
HW worksheet odds 6
November 05, 2013
Nov 82:01 PM
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
HW worksheet odds 7
November 05, 2013
Nov 58:44 AM
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
HW worksheet odds 8
November 05, 2013
Nov 82:15 PM
HW worksheet odds
5.15.2
HW worksheet odds 9
November 05, 2013
Nov 158:00 AM
5.15.2
HW worksheet odds 10
November 05, 2013
Nov 158:00 AM