394,651 views
31 votes
31 votes
What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a straight angle Prove: ∠ABC ≅ ∠A B D 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

User LemonPi
by
2.8k points

1 Answer

30 votes
30 votes

Answer:

Definition of Congruent angles.

Explanation:

Given

See attachment

Required

Complete the proof at step 8

At step 8, we have:


\angle ABC \cong \angle ABD

When the sign
\cong is used, it means congruence

In other words;

ABC and ABD are congruent

Hence, the missing statement at step 8 is: Definition of Congruent angles.

What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a-example-1
User Lynita
by
2.7k points