Geom5.3.notebook
February 17, 2014
Geometry
Ch.5 Notes Page 24
P24 5­3 Concurrent Lines, Medians
and Altitudes
Mar 7­5:59 AM
Point of Conucrrency
Mar 7­6:22 AM
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Perpendicular Bisectors
C
D
AB is the Perpendicular Bisector
of Segment CD
Mar 20­11:58 AM
Example. Point _______ is the circumcenter.
Mar 7­6:22 AM
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February 17, 2014
S
C
R
Q
Mar 20­12:05 PM
By using the circumcenter, you are able to draw a circle around the triangle going through each vertex. The circle is ______________________________ about the triangle.
Mar 20­12:16 PM
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Geom5.3.notebook
February 17, 2014
Finding the Circumcenter
Find the center of the circle that you can circumscribe about the triangle with vertices (0 , 0)
(­8, 0)
(0 , 6)
Find the center of the circle that you can circumscribe
about the triangle with vertices (1, 1)
(5, 1)
(1, 7)
Mar 20­12:37 PM
Angle Bisectors
C
D
AB is the Angle Bisector
of Angle CAD
Mar 20­12:39 PM
4
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Example. Point _______ is the incenter.
Mar 7­6:28 AM
Y
X
I
Z
Mar 20­12:46 PM
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By using the incenter, you are able to draw a circle inside the triangle by measuring from the incenter to a side. The circle is ______________________________ in the triangle.
Mar 20­12:49 PM
Mar 20­1:08 PM
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Mar 7­6:28 AM
Example. Point _______ is the centroid.
The centroid is also called the ____________________ _____ ____________________ of a triangle because it is the point where a triangular shape will balance.
Mar 20­1:15 PM
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Theorem 5­8: The distance from a vertex to the centroid is _______ the distance from each vertex to the midpoint of the opposite side.
Also, the distance from the centroid to the opposite side is ________ the
distance from each vertex to the midpoint of the opposite side.
Mar 7­6:28 AM
Mar 24­9:06 AM
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Mar 20­1:01 PM
Mar 7­6:30 AM
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Mar 20­1:38 PM
Mar 20­1:40 PM
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HW #28
5­3 P275 #8,9,11­16,19­22,28,37,38,42­44
Please put your name and class period at the top of
the homework. Also include the homework number.
Terms:
Concurrent, Point of Concurrency,
Circumcenter of a triangle, Circumscribed about,
Incenter of a triangle, Inscribed in,
Median of a triangle, Centroid,
Altitude of a triangle, Orthocenter of a triangle
Feb 23­7:28 AM
Mar 7­6:30 AM
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Mar 7­6:30 AM
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