Question

Is this correct? similarity postulates

Answer 1

question attached. my answer:

To prove △BAC is similar to △DFE, one of the three postulates must be fulfilled:

AA Similarity Postulate:

If ∠B ≅ ∠D, and ∠C ≅ ∠E, than the triangles are similar

SSS Similarity Postulate:

If BA is proportional with DF, AC is propotional with FE, and CB is proportional with ED, than the triangles are similar

SAS Similarity Postulate:

If BC is proportional with DE, ∠C ≅ ∠E, and CA is proportional with EF, than the triangles are similar

Answer 2

The basic idea looks good, but I would put something like BA/DF=AC/FE=CB/ED instead of saying they are proportional, since their proportions have to be equal. I might be splitting hairs though...