Assertion: The triangles ACB and ADB are congruent.
Reason: SSS congruence rule is used to prove that these triangles are congruent.
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Solution
In the △ABC and △ABD,
AC = AD (Given)
CB = DB (Given)
AB is the common side. ⟹△ABC≅△ABD [SSS congruency]
Thus, by SSS congruency rule, the two triangles (ABC and ABD) are congruent.
Therefore, both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).