Download Angle Bisector: ray that divides an angle into 2 congruent adjacent

Angle Bisector:
ray that divides an angle into
2 congruent adjacent angles
C
D
A
AC is the angle bisector of∠DAB
Distance from a point to a line:
is the length of the perpendicular
segment from the point to the line
B
C
D
A
the distance from C to AD is CD, where CD⊥ AD
B
Angle Bisector Theorem:
If a point is on the angle bisector, then it is equidistant
from the 2 sides of an angle.
What does the Angle Bisector
Theorem allow us to conclude?
D
A
C
B
BC = DC
Find AD.
Find the value of x.
Converse of the Angle Bisector Theorem:
If a point is in the interior of an angle and is
equidistant from the sides of the angle, then it lies
on the angle bisector.
What does the Converse of
the Angle Bisector Theorem
allow us to conclude?
D
A
C
B
AC bisects∠DAB
Find m∠E F H
Find the value of x.
Concurrency of Angle Bisectors of a Triangle(Incenter):
The angle bisectors of a triangle intersect at a point
that is equidistant from the sides of a triangle.
Use a protractor and ruler to find the Incenter.
Use a compass & straight edge to find the Incenter.
Incenter:
* Always inside of the triangle
&
*Center of the circle that is said to be inscribed
within the triangle