The diagram shows the lengths of corresponding sides of similar triangles a'b'c' and abc. which expression gives the perimeter of a'b'c'? a. 4(4 + b + c) b. 2(a + b + c) c. 4(a + b + c) d. 8(a + b + c)

The correct answer option is b) 2(a + b + c).

Step-by-step explanation:

We are given two similar triangles A'B'C' and ABC with the lengths of their corresponding sides.

From the diagram, we can see that side a = 4 in triangle ABC while its corresponding side is 8 which means that triangle A'B'C' is twice the size of ABC.

So we can write the following expression for the perimeter of A'B'C':

2(a + b + c)