January 24, 2014
Please:
1. Turn in Construction Project by placing it on my desk.
2. Get a compass and straightedge from the front if you don't
have one.
3. Have your homework out so I can check it.
January 24, 2014
33.
C(3,6)
A(-3,-2)
January 24, 2014
5.2 Bisectors of a Triangle
concurrent lines: when 3 or more lines intersect at the same
point
circumcenter: point of concurrency of perp. bis. of a triangle
Circumcenter Theorem:
The circumcenter is equidistant from the vertices of a triangle.
January 24, 2014
January 24, 2014
Find the circumcenter of
ABC with vertices A(-6,0), B(0,4), and C(0,0).
B(0,4)
A(-6,0)
C(0,0)
January 24, 2014
Construct the circumcenter.
360°
156
January 24, 2014
incenter: point of concurrency of the angle bisectors of a triangle
Incenter Thm:
The incenter is equidistant from the sides of a triangle.
January 24, 2014
1. The angle bisectors meet at pt. L.
Find AL and FL.
A
D
F
L
C
E
B
January 24, 2014
Construct the incenter.
49°
62
January 24, 2014