Given the figure, which method will you most likely use to prove that triangle ADE and
triangle ABC are similar?
A. The SSS Postulate
B. The SAS Postulate
C. The ASA Postulate
D. The AA Postulate

B. The SAS Postulate

Step-by-step explanation:

In the given figure, we are shown two triangles, and .

Since triangle ADE is inscribed in triangle ABC, both triangles must share angle . Furthermore, let's take a look at the two legs of each triangle, if we say that their respective bases are DE and BC.

Compare the corresponding legs of each triangle with proportions:

Since two corresponding legs/sides of triangle are in a constant proportion, the triangles must be similar from the SAS (Side-Angle-Side) Postulate.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.