Warm‐Up
Draw a triangle and construct an altude.
0
0
75°
1
2
1
3
48 175°
4
2
5
6
7
3
8
9
10
4
11
12
5
13
14
15
Lesson 3.7 Points of Concurrency
Objectives:
1. Construct the orthocenter of a triangle.
2. Investigate when points of concurrency are inside, outside, or on the triangles.
Construct all 3 altitudes of ΔOVR.
0
0
1
O
2
3
1
4
164
5
31°
2
6
7
8
3
9
V
R
10
4
11
12
13
5
14
15
Group Activity
When is the circumcenter inside of the triangle?
When is the circumcenter outside of the triangle?
When is the incenter inside of the triangle?
When is the incenter outside of the triangle?
When is the incenter on the triangle?
When is the orthocenter inside of the triangle?
When is the orthocenter outside of the triangle?
When is the orthocenter on the triangle?
When is the circumcenter on the triangle?
126°
Homework: p.179 #6­8
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