Answer:
B. SAS Similarity
Explanation:
AB corresponds to DE,
DE/AB = 8/4 = 2
AC corresponds to DF,
DF/AC = 10/5 = 2
This shows that 2 sides (DE and DF) of ∆DEF are proportional to two sides (AB and AC) of ∆DEF.
Also, <A is an included angle of ∆ABC, while <D is an included angle of ∆DEF.
<A and <E are stated to be congruent to each other.
Since two sides in ∆ABC are proportional to two sides in ∆DEF, and also, since the included angle in both ∆s are congruent to each other, therefore, based on the SAS Similarity Theorem, we can prove that ∆ABC ~ ∆DEF.
