Question

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.

Answer 1

d)Angle U is congruent to angle X.

Explanation:

Answer 2

(D)

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.