Answer:
(c) BC ≅ BC, reflexive property
Explanation:
The conclusion of this proof derives from CPCTC and the SAS congruence postulate. In order for SAS to apply, corresponding sides and the angle between them must be shown to be congruent. The congruence statement ...
ΔABC ≅ ΔDCB
tells you these pairs of sides and angles are congruent:
- AB ≅ DC . . . . statement 2
- ∠ABC ≅ ∠DCB . . . . statement 4
- BC ≅ CB . . . . (missing statement 5)
- AC ≅ DB . . . . statement 7
That is, the statement needed to complete the proof is a statement that segment BC is congruent to itself. That congruence is a result of the reflexive property of congruence.