l m n P Incenter of a Triangle P amazonaws com

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The  Incenter  of  a  Triangle        

 

 

 

 

 

 

 

 

   

Name    _________________________________   Date  ___________________      Period  _______  

When three or more lines intersect at one point, the lines are said to be concurrent.

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Incenter of a Triangle The point of concurrency of the angle bisectors of a triangle. Y

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P X Z m      

 

   

Incenter of a Triangle The incenter is the center of the circle that can be inscribed inside the triangle. Y Point P is the center of the circle inscribed inside of ∆XYZ

P X Z

Point P is the incenter of ∆XYZ

 

             

Incenter Theorem The incenter of a triangle is equidistant from all sides of the triangle. Y C

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Point P is the center of the circle inscribed inside of ∆XYZ

P X Point P is the incenter of ∆XYZ

     

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Incenter of a Triangle The incenter of a triangle is always inside the triangle. B

B

B

P

P

P

A

C Point P, the incenter, is inside of ∆ABC

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C

Point P, the incenter, is inside of ∆ABC

A

C

Point P, the incenter, is inside of ∆ABC

             

 

Incenter of a Triangle The point of concurrency of the angle bisectors of a triangle. Point P is the incenter of ∆XYZ n

Y

Point P is the center of the circle inscribed inside of ∆XYZ l

P X Z m The incenter of a triangle is equidistant from all sides of the triangle.    

 

© iTutoring.com The  Incenter  of  a  Triangle   Pg.  3