Triangle stu is dilated to form new triangle vwx. if angle s is congruent to angle v, what other information will prove that the two triangles are similar? side st is congruent to side vw. angle t is congruent to angle v. side us is congruent to side xv. angle u is congruent to angle x.

(D)

Step-by-step explanation:

Two triangles are similar if it satisfies the following properties:

1) Corresponding angles are congruent.

2) Corresponding sides are all in same proportion.

Here, ΔSTU and ΔVWX are given, where ∠S is congruent to ∠V.

To prove these two triangles similar, we need one more corresponding angle to be congruent.

And from all the options, (d) Angle U is congruent to angle X. will help in proving ΔSTU and ΔVWX similar triangles.

Therefore, (d) is correct.  

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.