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i) Given ; ΔABC and ΔDBC are two triangles such that AB=BD and AC=CD.
To show, ΔABC≅ΔDBC
proof;
in triangle DBM and triangle AMC,
AB=BC (Given)
AC=CD (Givne)
BC=BC ( Common )
Therefore, by SSS criterion of congruency, triangle ABC is congruent to triangle DBC.
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