Question

Given: m∠ABC = m∠CBD

Answer 1

Answer:

(a) Option 3

(b) Option 1

(c) Option 2

Step-by-step explanation:

Given information: m∠ABC = m∠CBD

Prove: BC bisects ∠ABD.

Proof:

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

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

$\angle ABC\cong \angle CBD$         (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.

Answer 2

Answer:

1)given

2)definition of congruent

3)definition of bisect