If abc ~ def and the scale factor from abc to def is 1/7, what are the lengths of de, ef, and df respectively?

Option D is correct.

The length of segment DE = 4 unit ,

Length of segment EF = 5 unit

Length of segment DF =  2 unit

Explanation:

Given:

If Δ ABC Δ DEF and the scale factor from ABC to DEF is

We know that:

Scale factor=measure triangle DEF/measure triangle ABC

then,

, , and  

Scale factor (k) =

From the figure; we have

length of segment AB = 28 unit

length of segment AC = 14 unit

Length of  segment BC = 35 unit

Then,

*

or

*

or

*

or

Therefore, the length of segment DE , EF and DF are; 4 unit, 5 unit , and 2 unit.

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6