Warm‐Up
Draw a segment and construct the perpendicular bisector of that segment.
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5
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4
10
187° 144
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2
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3
1
2
1
90°
0
0
Lesson 3.7 Points of Concurrency
Objectives:
1. Define concurrent, circumscribed, and paragraph proof
2. Construct the circumcenter of a triangle and a circumscribed circle.
Concurrent ­
When three or more lines/
segments/rays/planes intersect at one point Concurrent
Circumscribed ­
drawn around
Paragraph Proof ­
Step b
to expl
is true
0
128°
0
Construct all 3 perpendicular bisectors of ΔTHE.
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2
3
4
1
5
2
T
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3
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4
11
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5
360°
229
15
H
E
0
1
137°
0
Construct the circumscribed circle around ΔTHE.
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3
1
4
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2
7
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3
T
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11
4
12
13
5
14
15
113
H
360°
Homework: Circumcenter Worksheet
E