Question

What is the missing reason in the proof? given: ∠abc is a right angle, ∠dbc is a straight angle prove: ∠abc ≅ ∠abd a horizontal line has points d, b, c. a line extends vertically from point b to point a. angle a b c is a right angle. definition of angle bisector segment addition property definition of congruent angles transitive property

1) definition of angle bisector
2) segment addition property
3) definition of congruent angles
4) transitive property

Answer 1

The missing reason in the given proof is the definition of congruent angles.

Step-by-step explanation:

The missing reason in the given proof is the definition of congruent angles. To prove that angle ABC is congruent to angle ABD, we need to establish that the two angles have equal measures. This is done using the definition of congruent angles, which states that if two angles have the same measure, then they are congruent.

1. Definition of angle bisector
2. Segment addition property
3. Definition of congruent angles
4. Transitive property