Q. 495.0( 2 Votes )

If ∆ABC and ∆DBC are on the same base BC, AB = DC and AC = DB (Fig. 6.21), then which of the following gives a congruence relationship?


A. ∆ABC ∆DBC

B. ∆ABC ∆CBD

C. ∆ABC ∆DCB

D. ∆ABC ∆BCD

Answer :

In Δ ABC and Δ DBC


AB = DC (given)


AC = DB (given)


BC = BC (common in both triangles)


ABC DCB


Δ ABC Δ DCB (By SSS criterion)

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