
Statement Reason
AB is congruent to CD Given
CA is congruent to DB Given
BC bisects RT Given
BC is congruent to CB Definition of a Bisector
BDC is congruent to CAB These Angles are Vertical
AB is parallel to CD Given
D and A is congruent Same- Side Interior Angles
C and B are congruent Same Side Interior Angles
Triangles ABC & DCB are Congruent
*If three sides of one triangle are congruent to three sides of another, then the two triangles are congruent.
This also known to be the S.S.S. Theorem- Side Side Side Theorem.