Question

Given: BC = 5, EF = 15

There are two triangles and the same side offers the given above:


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.


Answer options are:

AA

SAS

SSS

NOT

Answer 1

Δ ABC and ΔDEF are not similar. The correct answer is D. NOT.

Explanation:

Answer 2

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.