In the given figure, AE=DB, CB=EF And ∠ ABC= ∠ FED. Then, which of the following is true?

Question

Philoid · Accepted Answer

From the given figure, we have

AE = DB

And, CB = EF

Now, AB = (AD – DB)

= (AD – AE)

DE = (AD – AE)

Now, in ∆ABC and ∆DEF we have:

AB = DE

CB = EF

∠ABC = ∠FED

∴ By SAS congruence criterion

∆ABC ≅ ∆DEF

Hence, option (A) is correct