Respuesta :

Answer:

c.similar,AA criteria

Step-by-step explanation:

angle U=angle R (Alternate interior angles)

angle S=angle S(vertically opposite angle)

hence SUV~QRS(AA criteria)

The angles ∠U and ∠R are indicated to be similar, given that the

vertically opposite angles formed at S are equal, the triangles are similar.

Response:

C) similar; AA similarity

What conditions make the triangles similar?

To prove that ΔSRQ is similar to ΔSUV we have;

∠U is congruent to ∠R, given by arc markings indications of congruent

angles.

∠VSU ≅ ∠QSR, by vertical angles theorem

Therefore;

Triangle ΔSRQ is similar to triangle ΔSUV, by Angle-Angle, AA similarity

postulate, which states that two triangles are similar if two angles in one

of the triangle are congruent to two angles in the other triangle.

The correct option is therefore;

C) similar; AA similarity

Learn more about similarity postulates here:

https://brainly.com/question/12084251

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