Question

triangle DEF a dilation of triangle ABC by scale 1/3 Which of the following proportions verifies that triangle ABC and triangle DEF are similar?

Answer 1

Correct option: B -> AB/DE = AC/DF

Explanation:

To verify that the triangles are similar, the proportion of two sides in a triangle needs to be the same proportion of the matching sides in the other triangle. The matching sides are:

AB and DE, AC and DF, BC and EF.

So we would have that:

AB/AC = DE/DF -> AB/DE = AC/DF

AB/BC = DE/EF -> AB/DE = BC/EF

AC/BC = DF/EF -> AC/DF = BC/EF

So the correct option is B -> AB/DE = AC/DF