Question

1.

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem
you used.
7.5
B
12
N
C
7.5
M
OA AABC-AMNO, SSS
OB AABC AMNO; SAS
OC AABC - AMNO, AA
OD The triangles are not similar.

Answer 1

AI-generated answer

The triangles AABC and AMNO are similar.

To determine if the triangles are similar, we can use the postulates or theorems of similarity.

In this case, we are given the following information:

Side AB is proportional to side AM with a ratio of 7.5:12.

Side AC is proportional to side AN with a ratio of 7.5:7.5.

Since the ratios of the corresponding sides are equal, we can conclude that the triangles are similar.

The similarity statement is:

Triangle AABC ~ Triangle AMNO

The postulate or theorem used to establish the similarity is:

Side-Side-Side (SSS) Similarity Postulate

Therefore, the triangles AABC and AMNO are similar by the Side-Side-Side (SSS) Similarity Postulate.