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Congruent triangles [1]

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Yes, you can say that

1. side AB is congruent to side BD.  Reason: Given.

2.  side AC is congruent to side CD.  Reason: Given.

3.  side BC is congruent to itself.  Reason:  The "reflexive law".  Any geometric object is congruent to itself.

Last: 

4.  triangle ABC is congruent to triangle DBC.  Reason: SSS.

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