Which diagram could be used to prove △ABC ~ △DEC using similarity transformations?

(from top to bottom, the first picture top option is A for example)

A.

B.

C.

D.

Answer

To prove similarity, the triangles must have three angles or any three components must be equal. According to the statement, option A seems to be proof the triangles are similar to each other.

There are two images given in the question.

Let us segregate the images into image 1 and image 2.

Take image 1.

In image 1, three different triangles are given,

According to the above bullet points, image 1 qualifies all the requirements for the similarity of the triangles.