Which similarity statement and postulate or theorem correctly identifies the relationship?
B
D
12
E
86°
860

15
14
5
A
C
ОА
AABC - AFED by SSS Similarity Theorem
OB
AABC - ADEF by SAS Similarity Theorem
OC
AABC - AFED by AÁS Similarity Theorem.
OD
AABC - ADEF by AA Similarity Theorem

Which similarity statement and postulate or theorem correctly identifies the relationship B D 12 E 86 860 15 14 5 A C ОА AABC AFED by SSS Similarity Theorem OB class=

Respuesta :

Answer:

It is side angle side

Step-by-step explanation:

The two sides of the triangle are around the angle

The similarity theorem that identifies the given relationship correctly would be:

B). AABC - ADEF by SAS Similarity Theorem

What is SAS Similarity?

The SAS similarity Theorem state that in the situation where the ratio shared by the sides of two triangles remains the same and one of their angles stays equal, both the triangles would be similar.

In the given two triangles,

ΔABC and ΔDEF

The ratio of the sides are:

[tex]\frac{BC}{AB} = \frac{EF}{DE}[/tex]

so,

[tex]\frac{5}{15} = \frac{4}{12} = \frac{1}{3}[/tex]

and,

∠B = ∠E = 86°

Since the ratios shared by the two sides are equal in both the given triangles and one angle is equal, the triangles are the same.

Thus,

ΔABC ~ ΔDEF

Learn more about "Theorem" here:

brainly.com/question/19258025