Answer:
Δ ABC and ΔDEF are not similar. The correct answer is D. NOT.
Explanation:
1. Let's review the information given to us to answer the question correctly:
AB = 12 units, DE = 24 units
AC = 3 units, DF = 6 units
BC = 5 units, EF = 15 units
2. Based on the given information, choose the similarity statement that you would use to say ABC~ DEF. If you could NOT conclude the triangles similar, then choose NOT.
In case Δ ABC ≅ ΔDEF, then the proportions of its sides should be the same:
AB/DE = AC/DF = BC/EF
12/24 = 3/6 ≠ 5/15
As we can see the proportion for AB/DE is 1:2, for AC/DF is also 1:2 but for BC/EF is 1:3. Therefore,
Δ ABC and ΔDEF are not similar. The correct answer is D. NOT.