AB AC = BD DC If AD is and angle bisector of ∆ABC then If AD is ...

Report 5 Downloads 21 Views
www.iTutoring.com  -­‐  NOTES  

 

 

 

 

 

Angle  Bisector  Proportionality  Theorem    

 

     

   

Name    _________________________________   Date  ___________________      Period  _______  

An angle bisector in a triangle separates the opposite side into segments that have the same ratio as the other two sides. A

If AD is and angle bisector of ∆ABC then

B

BD

D

DC

AB BD = AC DC

C  

       

Determine the value of x.

If AD is and angle bisector of ∆ABC

A

24

18

B

       

x

D

12

C  

     

Determine the value of x.

8 12 2x

2x + 6

 

   

Determine the value of x.

12 8

x

10 – x 10

 

  © iTutoring.com Angle  Bisector  Proportionality  Theorem   Pg.  2  

     

12 – x

Determine the value of x.

14 12 x

10

 

       

An angle bisector in a triangle separates the opposite side into segments that have the same ratio as the other two sides. A

If AD is and angle bisector of ∆ABC then

B

BD

D

DC

AB BD = AC DC

C  

© iTutoring.com Angle  Bisector  Proportionality  Theorem   Pg.  3