Question

given: m∠abc = m∠cbd prove: bc bisects ∠abd. justify each step in the flowchart proof. a: m∠abc = m∠cbd b: ∠abc ≅ ∠cbd c: bc bisects ∠abd a: b: c:

Explanation:

Step1: Given information

Given that \(m\angle ABC = m\angle CBD\)

Step2: Definition of congruent angles

If two angles have equal measures, they are congruent. So, \(\angle ABC\cong\angle CBD\) since \(m\angle ABC = m\angle CBD\)

Step3: Definition of angle - bisector

An angle - bisector is a ray that divides an angle into two congruent angles. Since \(\angle ABC\cong\angle CBD\), ray \(\overrightarrow{BC}\) bisects \(\angle ABD\)

Answer:

A: Given
B: Definition of congruent angles
C: Definition of angle - bisector