Question

given: $m\angle abc = m\angle cbd$. prove: $\overrightarrow{bc}$ bisects $\angle abd$. justify each step in the flowchart proof. a $m\angle abc = m\angle cbd$. b $\angle abc\cong\angle cbd$. c $\overrightarrow{bc}$ bisects $\angle abd$. a definition of congruent. b definition of bisect. given. c reflexive property

Explanation:

Step1: Given information

Given $m\angle ABC = m\angle CBD$

Step2: Use congruent - angle definition

If two angles have equal measures, they are congruent, so $\angle ABC\cong\angle CBD$

Step3: Use bisect definition

A ray that divides an angle into two congruent angles bisects the angle, so $\overrightarrow{BC}$ bisects $\angle ABD$

Answer:

A. given
B. definition of congruent
C. definition of bisect