In ABC, CE and AD are medians.A E

C

B

DG

1. If CD = 3.25, what is BC?

2. Find AG if DG = 10.

3. If CG = 7, find CE?

Altitude, perpendicular bisector, both, or neither?

6.5

20

10.5

ALTITUDE

NEITHERBOTH

PER. BISECTOR

The intersection of the perpendicular bisector is called

the CIRCUMCENTER.

How many perpendicular

bisectors does a triangle have?

What is special about the

CIRCUMCENTER?

Equidistant to the vertices of the triangle.

Example 1:Point G is the circumcenter of the triangle. Find GB.

B

A

C

G

ED

F

2

5

7

7

Example 2:Point G is the circumcenter of the triangle. Find CG.

B

A

C

G

ED

F

6

8

10

Angle Bisector

The intersection of the angle bisectors is called the INCENTER.

How many angle bisectors does a triangle have?

What is special about the INCENTER?

Equidistant to sides of the triangle

Example 1:

Point N is the incenter of the triangle. Find the length of segment ON.

18

30 18

Example 2:

Point N is the incenter of the triangle. Find the length of segment NP.

15