Question

Why are there two possible scale factors, 2 or 12, for the two triangles?

A. They have different angles.
B. They have different perimeters.
C. They have different areas.
D. They have different shapes.

Answer 1

The two triangles have different perimeters, which is why there are two possible scale factors, 2 or 12.

Step-by-step explanation:

The reason there are two possible scale factors, 2 or 12, for the two triangles is because they have different perimeters. When two triangles are similar, their corresponding sides are proportional, meaning that the ratios of the lengths of the sides are equal. In this case, the ratio of the perimeters of the two triangles is 2:1, which corresponds to the scale factors 2 and 12.