Answer:
Right option is (D).
ΔABC and ΔDBE are similar triangles by side angle side similarity postulate.
Step-by-step explanation:
We have given,
Two triangles ΔABC and ΔDBE such as :
[tex]\frac{BD}{BA} =\frac{BE}{BC}[/tex]
This relation will contribute to side side similarity.
Also,
∠B = ∠B , This will contribute as an angle similarity .
So combining above two relations,
[tex]\frac{BD}{BA} =\frac{BE}{BC}[/tex]
and ∠B = ∠B
we can conclude that the triangle ΔABC and ΔDBE are similar triangles by side angle side similarity postulate.
Hence the right option is (C)
