He figure below shows three quadrilaterals on a coordinate grid:

which of the following statements is true about the three quadrilaterals?
d and e are similar but not congruent.
e and f are similar and congruent.
d and e are similar and congruent.
f and d are similar but not congruent.

D and E are similar but not congruent

Step-by-step explanation:

We know that,

Two figures are similar when one becomes other after applying any transformation.

But, two figures are congruent for every transformation except dilation i.e. after resizing the figures does not remain congruent.

So, from the given quadrilaterals, we see that,

D and E are similar but not congruent as D has been resized.

Also, F and E are similar but not congruent as D has been resized.

Moreover, we have that,

E and F are similar as well as congruent.

Hence, only statement 1 is true.