Question

Similar PolygonsI’m not entirely sure how to answer this question.

Answer 1

When two triangles are similar, the ratio between their corresponding sides is equal to a constant(the scale factor between the triangles). The original triangles in our problem have a scale factor of 3:

`(3a)/(a)=(3b)/(b)=(3c)/(c)=3`

If we add 6 to the sides of both triangles, this is no longer true. We can't rewrite the ratio between the corresponding sides as a constant:

`(3a+6)/(a+6)\\e k`

therefore, the triangles wouldn't be similar.