Since triangles ABC and DEF are similar, the statements that are correct include the following:
A. BC/EF = AC/DF
D. CA/FD = BC/EF
In Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding side lengths are proportional to the lengths of corresponding altitudes when two triangles are similar.
Based on the side, angle, side (SSS) similarity postulate, we can logically deduce the following proportional side lengths in triangles ABC and DEF;
AB/DE = BC/EF = AC/DF
In this context, the only true statements include the following:
BC/EF = AC/DF
CA/FD = BC/EF