Question

question complete the proof that △uvw ~ △ust.
answer attempt 1 out of 2
in order to verify that △uvw ~ △ust by aa~, the additional information needed is the measure of
by using

Explanation:

Step1: Recall AA~ similarity criterion

AA~ (Angle - Angle similarity) criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
We already have \(\angle T\cong\angle W\) (given as marked in the figure).

Step2: Identify the vertical angles

\(\angle SUT\) and \(\angle VUW\) are vertical angles. By the vertical angles theorem, \(\angle SUT\cong\angle VUW\) (vertical angles are congruent).

Answer:

\(\angle SUT\cong\angle VUW\) (by vertical angles theorem) so that we can use AA~ (Angle - Angle similarity) to prove \(\triangle UVW\sim\triangle UST\)