Question

Please help! The answer is not A I got this question wrong.

Answer 1

Right option is (D).

ΔABC and ΔDBE are similar triangles by side angle side similarity postulate.

Explanation:

We have given,

Two triangles ΔABC and ΔDBE such as :

`(BD)/(BA) =(BE)/(BC)`

This relation will contribute to side side similarity.

Also,

∠B = ∠B , This will contribute as an angle similarity .

So combining above two relations,

`(BD)/(BA) =(BE)/(BC)`

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)