Question

Is ABC DEF? If so identify the similarity postulate or theorem that apples

Answer 1

B. Similar - SAS

Step-by-step explanation:

Given:

Recall that the SAS Similarity Rule states that if two sides of one triangle are proportional to two corresponding sides of another triangle and the included angle in both triangles are congruent, then the two triangles are said to be similar.

Looking at triangles ABC and DEF, we can see that, we can see that;

`\begin{gathered} (AB)/(DE)=(BC)/(EF) \\ \\ (9)/(3)=(15)/(5)=3 \end{gathered}`

`\begin{gathered} m\angle B\cong m\angle E \\ 40^(\circ)\cong40^(\circ) \end{gathered}`

Since the two corresponding sides of both triangles are in equal proportion and the included angle in both triangles are congruent, then triangles ABC and DEF are similar by the SAS Similarity Rule