Given: m∠abc = m∠cbd prove: bc bisects ∠abd. justify the steps in the flowchart proof a. 1)definition of congruent 2)definition of bisect 3)given 4)reflexive property b. 1)definition of congruent 2)definition of bisect 3)given 4)reflexive property c. 1)definition of congruent 2)definition of bisect 3)given 4)reflexive property

An angle bisector divides the angle into two equal parts. The justification of each step of the flowchart is as follows

From the question, we are given that:

This represents the first step of the flowchart.

So, the justification is (3) Given

From the figure, we have that:

This represents the second step of the flowchart.

mean congruent

So, the justification is (1) Definition of congruent

Lastly:

Line BC bisects .

This represents the third step of the flowchart.

So, the justification is (2) Definition of bisect

Because line BC divides into two equal halves.

Read more about bisections at:

link

(a) Option 3

(b) Option 1

(c) Option 2

Step-by-step explanation:

Given information: m∠ABC = m∠CBD

Prove: BC bisects ∠ABD.

Proof:

            (Given)

Definition of congruent: Two angles are congruent if their measures are equal.

        (Definition of bisect)

Definition of bisect: If a line divides an angle in two equal parts, then the line is called angle bisector.

BC bisects ∠ABD                    (Definition of bisect)

Hence proved.

step-by-step explanation: