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Given: ∠TRS = ∠URS ∠TSR = ∠USR Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to prove the triangles are congruent, choose "not possible".

SSS
SAS
ASA
not possible

Given TRS URS TSR USR Based on the given information and the algebraic and geometric properties presented or proven thus far choose the congruence theorem that class=

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dawgjohn

Answer:

ASA

Angle Side Angle

By ASA or Angle side ange criteria we can say that ΔRST is congruent to ΔRSU or ΔRST ≅ ΔRSU

What are the congruent triangles?

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

What is ASA congruency rule or criteria?

The ASA rule states that. If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

According to the given question.

We have two triangles RTS and RUS.

Aslo, it is given that

m ∠TRS = m ∠URS

And m ∠TSR = m ∠USR

Now, In ΔRST and Δ RSU we have

m ∠TRS = m ∠URS    (Given)

m ∠TSR = m ∠USR   (Given)

And,

RS = RS   ( Common side)

Therefore, by ASA or Angle side ange criteria we can say that ΔRST is congruent to ΔRSU or ΔRST ≅ ΔRSU.

Hence, we have proved that ΔRST ≅ ΔRSU by ASA criteria.

Find out more information about conrguent triangles and ASA criteria here:

https://brainly.com/question/16898470

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