Question

given: ab ≅ db, ac ≅ dc
prove: △abc ≅ △dbc
statements reasons

1. ab ≅ db, ac ≅ dc 1. given
2. bc ≅ bc 2.???
3. △abc ≅ △dbc 3. sss

what is the missing reason in the proof shown?
symmetric property
reflexive property
commutative property
transitive property

Explanation:

The reflexive property states that any geometric figure is congruent to itself. In the proof, BC is congruent to BC because it is the same line - segment. This is an example of the reflexive property of congruence.

Answer:

Reflexive Property