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alex41 [277]
3 years ago
13

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

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

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

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