3­6 Centroid­Orthocenter
Entry
November 12, 2015
Date:
1)
2) Find the midpoint of (­5, 2) and (4, ­8).
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3­6 Centroid­Orthocenter
November 12, 2015
Date:
Notes
Objective ­ I can construct and identify the Centroid and Orthocenter of a Triangle. Median of a Triangle~ A segment that goes from a vertex to the midpoint of the opposite side.
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3­6 Centroid­Orthocenter
November 12, 2015
The point where the medians cross
is called the CENTROID. This is the
"center of gravity" of the triangle
because it's the point where it
would balance.
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3­6 Centroid­Orthocenter
November 12, 2015
Constructing Centroids- find the midpoint and connect!
A
81°
194
15
C
14
B
13
12
5
11
10
9
4
8
7
6
3
5
4
2
3
2
1
0
1
26°
0
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3­6 Centroid­Orthocenter
November 12, 2015
The ALTITUDE of a triangle is a perpendicular segment from a vertex to the opposite side. The point where all 3 altitudes cross is called the orthocenter.
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3­6 Centroid­Orthocenter
November 12, 2015
Constructing Orthocenter‐ we are going to use notecards!
Z
Y
X
152
44°
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3­6 Centroid­Orthocenter
November 12, 2015
Let's Practice Writing Equations of Perpendicular Bisectors again...
(6, ‐5) and (10, 1)
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3­6 Centroid­Orthocenter
November 12, 2015
Bookwork
Page 305
#19­21
8