Question

Triangle FED is a dilation of triangle ABC What is the scale factor used to transform ABC into FED?

Answer 1

Answer:  Choice B)  4/3

=============================================================

Explanation:

The order of the letters in ABC and FED is important. This is because AB pairs with FE. Note how AB is the first two letters of ABC, and FE is the first two letters of FED.

Divide the lengths of FE over AB to get the scale factor:

FE/AB = 20/15 = 4/3

Or you could pick on BC and ED (both are the last two letters of ABC and FED respectively) to get

ED/BC = 8/6 = 4/3

Finally, you could also say

FD/AC = 16/12 = 4/3

--------------------

In short, we could have any of the following:

• FE/AB = 4/3
• ED/BC = 4/3
• FD/AC = 4/3

Therefore, the scale factor is 4/3

Because 4/3 = 1.33 (approx) is larger than 1, this means the image triangle FED is larger than the preimage triangle ABC.