Question

Which statements about angles ABC and angles DEF is true

Answer 1

First, we identify the corresponding sides in the triangles. In the following image we can see corresponding sides in the same color:

For the triangles to be similar, there must a proportion between the corresponding sides.

A proportion is a number by which you multiply the sides of 1 triangle to get the sides of the other triangle. In this case, we can see that between the red sides there is a proportion of 2:

Also, between the blue sides there is a proportion of 2:

But, between the green sides, this proportion of 2 is not true, because 6x2 will be 12 and we have 14,

thus, the answer is:

They are not similar because corresponding sides are not proportional