Respuesta :

Answer:

3

Step-by-step explanation:

We are given that line segment EF is dilated (compressed) by a factor of 2/3 to give line segment E'F'. This means that its length has been multiplied by 2/3.

We are also given the length of E'F' as:

  • E'F' = 2

Using this information, we can create a proportion to solve for the length of the original line segment EF:

  • EF × (2/3) = E'F'

plugging in the given value,   E'F' = 2

  • (2/3) EF = 2

multiplying both sides by 3/2

EF = 3