Select the correct answer.

Statement


Reason


1. Draw a line through B that is perpendicular to and

label the point of intersection with as D.


construction


2. In ΔABD, BD = c sin A.


definition of sine in a right triangle


3. In ΔCBD, BD = a sin C.


definition of sine in a right triangle


4. c sin A = a sin C


Substitution Property of Equality


5.


dividing throughout by sin A sin C


6. Draw a line through A that is perpendicular to and

label the point of intersection with as E.


construction


7. In ΔBAE, AE = c sin B.


definition of sine in a right triangle


8. In ΔCAE, AE = b sin C.


definition of sine in a right triangle


9. c sin B = b sin C


Substitution Property of Equality


10.


dividing throughout by sin B sin C


11.


Transitive Property of Equality


What is the missing statement in step 10 of the proof?


Given: ΔABC




with AB = c, BC = a, AC = b



Prove: a/sinA=b/sinB=c/sinC