1.

If ∆ABC and ∆DBC are on the same base BC, AB = DC and AC = DB (Fig.), then which of the following gives a congruence relationship?(a) ∆ ABC ≅ ∆ DBC (b) ∆ ABC ≅ ∆CBD(c) ∆ ABC ≅ ∆ DCB (d) ∆ ABC ≅ ∆BCD

Answer»

(c) ∆ ABC ≅ ∆ DCB

Consider the ΔABC and ΔDCB,

From the question it is given that, AB = DC and AC = DB

BC = BC … [because common side]

Therefore, ∆ ABC ≅ ∆ DCB



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