Question

Which of the following statements is needed in order to prove these triangles are congruent by AAS?

Answer 1

Answer:

$RQ\cong UT$

Step-by-step explanation:

Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.

From the triangles RQS and UTV

$\angle R\cong \angle U\\\angle S\cong \angle V$

The adjacent side to $\angle R$ is RQ and for $\angle U$ is UT.

Similarly, the adjacent side to $\angle S$ is QS and for $\angle V$ is TV.

So, the possible sides that could be congruent by AAS postulate are:

$RQ\cong UT$ or $QS\cong TV$

So, the correct option is $RQ\cong UT$