SOLUTION: from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: angle ADP=CDP Prove: PD is an angle bisector of ang

Algebra ->  Angles -> SOLUTION: from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: angle ADP=CDP Prove: PD is an angle bisector of ang      Log On


   

Question 1205141: from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement.
given: angle ADP=CDP
Prove: PD is an angle bisector of angle ADC
A: corresponding parts of a congruent triangle are congruent
B: betweenness of rays
C: definition of an angle bisector
D: angle-side-angle
E: hypotenuse-leg
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!



Choices A, D, and E only deal with triangles.  There are no triangles drawn.
That only leaves B and C.  

"Betweenness or rays"

Does that guarantee that the angles have equal measures? 

The definition of angle bisector:

An angle bisector is defined as a ray, segment, or line
that divides a given angle into two angles of equal measures. 

So what do you think is the correct choice?

Edwin